...Why would Christ ask His bride to go through that?...
I believe "a great multitude, which no man could number" of us Christians will be in the great tribulation (Revelation 7:9, 14) for the same reasons Christians have always gone through "much tribulation." "Confirming the souls of the disciples, and exhorting them to continue in the faith, and that we must through much tribulation enter into the kingdom of God" (Acts 14:22). Note that the Greek word for "much" in Acts 14:22 is translated 59 times in the New Testament as "great." "And not only so, but we glory in tribulations also: knowing that tribulation worketh patience" (Romans 5:3). "That no man should be moved by these afflictions: for yourselves know that we are appointed thereunto. For verily, when we were with you, we told you before that we should suffer tribulation" (1 Thessalonians 3:3-4).
During the coming great tribulation the Lord will allow the enemy to try some of us to the limit, just as the enemy tried Job to the limit, not because he had done anything wrong, but to show that his love for God wasn't based on his material wealth, his family, or his health, but on the simple fact that God was his creator and sustainer, and had shown him great kindness (Job 2:10). Job did not sin when faced with every trial a man can face. He remained loyal to God unto the end.
I believe we are to look to the patient suffering of Job as our example: "Take, my brethren, the prophets, who have spoken in the name of the Lord, for an example of suffering affliction, and of patience. Behold, we count them happy which endure. Ye have heard of the patience of Job, and have seen the end of the Lord; that the Lord is very pitiful, and of tender mercy" (James 5:10-11). We Christians will need such patience in the coming tribulation: "Here is the patience and the faith of the saints" (Revelation 13:10). "Here is the patience of the saints: here are they that keep the commandments of God, and the faith of Jesus" (Revelation 14:12-13).
...Why would God's wrath be poured out on the Bride?...
Note that during the tribulation nobody in heaven says God's wrath "is come" until near the end of the tribulation, after the 7th trumpet (Revelation 11:15, 18), in the 7 vials of God's wrath (Revelation 15:1; Revelation 16), and none of the 7 vials are poured out on those of us who have obtained salvation; we are even blessed at the 6th vial (Revelation 16:15), that we might endure to the 1,335th day (Daniel 12:12).
In the pre-trib view, will those who "obtain salvation" in the tribulation be "appointed to wrath?" Aren't being "appointed to wrath" and "obtaining salvation" mutually exclusive?
"God hath not appointed us to wrath, but to obtain salvation by our Lord Jesus Christ" (1 Thessalonians 5:9).
...there was another coming which they did not recognize. In the same way, allow me to suggest that there is a coming you are not recognizing...
Note that the Old Testament did distinguish between Jesus' two comings: the one in Isaiah 53 where he dies, and the one in Zechariah 14 where he comes to conquer and rule, but neither the Old Testament nor the New teaches a 3rd coming.
...why on earth would the church at Thessalonica have been upset?...
Some say the Thessalonians were shaken about possibly missing the rapture and being in the tribulation. But the Thessalonians wouldn't be "shaken in mind, or be troubled" (2 Thessalonians 2:2) about being in persecutions and tribulation, for they were already patiently enduring both: "We ourselves glory in you in the churches of God for your patience and faith in all your persecutions and tribulations that ye endure" (2 Thessalonians 1:4), but they would be shaken if the 2nd coming had supposedly already happened, because where was Jesus? And if the 2nd coming had already happened, then the resurrection must have already happened as well, and where were all their departed loved ones that Paul had promised them they would see again? (1 Thessalonians 4:13-18) Those who spiritualized away the resurrection in Paul's day were destroying the faith of some (2 Timothy 2:18).
...God uses difficulties to mature and discipline us . . . There is no place anywhere in Scripture which indicates that any part of the body of Christ is going to have to suffer God's wrath...
Note that the word "wrath" in 1 Thessalonians 5:9 is the Greek word orge, which is used in the NT to refer to the entire range of the levels of God's wrath, from a single angry look by Jesus: "He had looked round about on them with anger (orge)" (Mark 3:5), to the eternal horror of the lake of fire: "The same shall drink of the wine of the wrath of God, which is poured out without mixture into the cup of his indignation (orge); and he shall be tormented with fire and brimstone in the presence of the holy angels, and in the presence of the Lamb: And the smoke of their torment ascendeth up for ever and ever" (Revelation 14:10-11). If we who have obtained salvation do wrong, I believe Jesus can still be angry with us, for "As many as I love, I rebuke and chasten" (Revelation 3:19), but such chastisement doesn't mean we are appointed to the wrath of the lake of fire (Revelation 14:10), to which only those who will not obtain salvation are appointed (1 Thessalonians 5:9, John 3:36).
...the time of distress unequaled...
I believe Jesus said the tribulation will be cut short because we the elect will still be here: "For then shall be great tribulation, such as was not since the beginning of the world to this time, no, nor ever shall be. And except those days should be shortened, there should no flesh be saved: but for the elect's sake those days shall be shortened" (Matthew 24:21-22).
I believe we in the church are the elect:
"Elect according to the foreknowledge of God the Father, through sanctification of the Spirit, unto obedience and sprinkling of the blood of Jesus Christ" (1 Peter 1:2).