FWIW, the Jews believe that any Gentile who follows and honours the Ten Commandments through belief in God is a Righteous Gentile who is destined for Heaven, even though not born Jewish - thus it is possible to attain salvation even when birth is against you. They are quite firmly of the opinion that the Mosaic Law is for Jews and no-one else.

Given that the vast majority of Biblical evidence for the condemnation of homosexuality and transgender comes from Deuteronomy and Leviticus (i.e. the OT Mosaic Law), that pretty much indicates to me that sexual orientation and gender - trans or otherwise - is no bar to salvation for a Christian, particularly when you take into account the baptism of the Eunuch by Philip in Acts.