Foot/Feet washing is not an ordinance of the church to be observed. I can say that on the authority of the holy Scriptures. See here;
Eph 3:1 For this cause (
consult previous chapter for the cause) I Paul, the prisoner of Jesus Christ for you Gentiles,
2 If ye have heard of the dispensation of the grace of God which is given me to you-ward:
3 How that by revelation he made known unto me the mystery; (as I wrote afore in few words,
4 Whereby, when ye read, ye may understand my knowledge in the mystery of Christ)
5 Which in other ages was not made known unto the sons of men, as it is now revealed unto his holy apostles and prophets by the Spirit;
6 That the Gentiles should be fellowheirs, and of the same body, and partakers of his promise in Christ by the gospel:
7 Whereof I was made a minister, according to the gift of the grace of God given unto me by the effectual working of his power.
16 That I should be the minister of Jesus Christ to the Gentiles, ministering the gospel of God, that the offering up of the Gentiles might be acceptable, being sanctified by the Holy Ghost. 17 I have therefore whereof I may glory through Jesus Christ in those things which pertain to God.
Now watch this;
18 For I will not dare to speak of any of those things which Christ hath not wrought by me, to make the Gentiles obedient, by word
and deed,
Rom 11:13 For I speak to you Gentiles, inasmuch as I am the apostle of the Gentiles, I magnify mine office:
Logically, if I were going to read my Bible and try to determine if God wanted me to practice foot washing as an ordinance of the church and I came across the words I have quoted above, they would have a serious impact upon my decision. I would read the 13 letters Paul wrote to gentiles to see if he addressed it anywhere and instructed me as a gentile to do it.
I would pay particular attention to the following quote;
1 Corinthians 11:2
Now I praise you, brethren, that ye remember me in all things, and keep the ordinances, as I delivered them to you.
Here is some petinent information to consider.
Everything Biblically from Ge 12 to Acts 10 is in the context of the people group Israel, beginning with the fathers, Abraham, Isaac, and Jacob. Because Israel would not believe that Jesus Christ is the Son of God and the promised Messiah when he came to fulfill all that was written concerning him, God called the gentiles and in this age mostly gentiles are filling up the house (family) that God is forming now and the church has a distinctly gentile character. When the house is full, then God will take it to his house in heaven and deal with those who are left on earth and purge and redeem Israel like he promised in those OT scriptures. See this:
Luke 14: 22 And the servant said, Lord, it is done as thou hast commanded, and yet there is room.
23 And the lord said unto the servant, Go out into the highways and hedges, and compel them to come in, that my house may be filled.
24 For I say unto you, That none of those men which were bidden shall taste of my supper.
Rom 11:13 For I speak to you Gentiles, inasmuch as I am the apostle of the Gentiles, I magnify mine office: (he had been speaking to the Jews)
25 For I would not, brethren (That is gentile brethren), that ye should be ignorant of this mystery, lest ye should be wise in your own conceits; that blindness in part is happened to Israel, until the
fulness of the Gentiles be come in.
So no, Paul gave two ordinances to the church, baptism and the Lord's table. That is it. He did not tell us to wash one another's feet as an ordinance. However, Christians have liberty and if a congregation chooses to do so, God is not dishonored by it. One just cannot make it a test of spirituality.
I hope this helps.