Forgivable, yes.So divorce is an unforgivable sin ?
Because David was forgiven did not mean the consequences were removed, the baby died.
Because Mosses was forgiven did not mean the consequences were removed, he was not allowed into the promised land.
"Go and sin no more" does not remove the consequences of sin. In our modern times, some desire the consequences removed because of confession..
1 John 1:9 says God forgives and cleanses, He doesn't forgive and neglect, but purges and uses the consequences as living testimony for others.
One divorced can be forgiven, but must still bear the signification and responsibility "divorced".
For encouragement, do not neglect that God uses the Humble servant and opposes the proud and haughty. James 4:6 and repeated by Peter in 1Peter 5:5 which is based solidly on statements in proverbs, psalms, and the prophets all express the one humble and considered unfit is usable by God.
Example, Mosses and David. Both horribly sinned and carried the rebuke of sin , yet used by God