Sexual immorality includes a lot of things. The Bible is the guide to what is and isn't acceptable. Sexual relations between a man and woman are sanctified by marriage. Anything else is immoral.
We believe it's possible to redeemed and gay at the same time. Being redeemed happens when we put our faith in Jesus Christ and confess our guilt before God and acknowledge that we're a sinner.
Sodom and Gomorrah was God's way of making a very important point. It was relevant to the age, when a minute human population had a vast world to populate and subdue. We don't live in that age.
Some people would answer NO, you can't be redeemed and be gay. Christians seem to be botching our outreach to the LGBTQIA+ community so badly that many people think that we're mean, hateful people.
Some people would answer YES, you can be redeemed and be gay. Those are the moderate and liberal Christians for whom the barn door was left open long ago and the horse ran off.
We (that's me and the Holy spirit) were asked the question: Can someone be redeemed and gay? We're going to use deductive reasoning to pick our way through this and see what we come up with.