Well it seems likely her religious views are acting to reinforce her phobic views which reinforce her religious views. Some people you just can't reach. If you're bound and determined to try though perhaps try the Jesus angle.
His entire message in the New Testament, the one that was the new covenant between man and god as far as I understand it, the one that replaced the old testament as being no longer relevant for CHRISTians, was one of love and acceptance. Turn the other cheek replaced an eye for an eye. "Let he who is without sin cast the first stone" was said to a crowd preparing to stone a grievous sinner. I believe that was an adulterer they were going to stone, because that was the OLD law. He spent his time with prostitutes and the other dregs of society, showing them love and compassion and acceptance. Because nobody is perfect compared to him, we're all equally flawed. Basically the entire point of everything Jesus said was to not act like a ****. Spread love not hate. He was the biggest pacifist hippy ever.
Anyways, I've yet to hear a good explanation for how a Christian can judge you when they're specifically told to not do that. And judging is exactly what they're doing when they say they can't interact with you anymore because of some sin you've supposedly committed. "Hate the sin but love the sinner" is just plain wrong according to the new testament. More so when they exclude you from their lives for it, or chastise you in any way. Your sins are between you, your chosen clergyman, and god. They're nobody else's business. Not that I feel this stuff makes you a sinner, but she obviously does so I'm speaking to that.
If it really comes down to a book fight where you're quoting scriptures at one another, if my memory serves me (and it has been a while since I've picked up that particular weighty tome) you should be able to quote just about any of the red text back to her. Though, and this is a big digression, I really don't believe it will do any good. No matter how many quotations you match or exceed her with she probably won't change her mind just from a conversation with you. In fact there are studies that say the more you try to change someone's mind the more firmly set in their beliefs they become. For all things, not just religious views. What's more, she's quite likely just using religion to further her own phobic views. You can't logic someone out of a position they didn't logic themselves into.
So while a head to head argument may just cause her to dig in I've found that often if you can make one really good and succinct point (unlike this post, so sorry!), one earnest emotional plea, then you'll sow seeds that eventually yield understanding as they think on it over time. Perhaps a simple plea for love and acceptance regardless of whatever sin she's judging you for would work best. Tug at the heart strings. Because that's what it's supposed to be all about. The love.
<3!
