How do I handle a born-again Christian trying to convert me?

If she's willing to end a friendship over you not converting to her religion then that's probably someone you shouldn't be friends with. 

Remind her that god told isreal to respect foreigners which included foreign religion!!! If she ends it she isn’t Christian 

If she continues badgering you, you aren't a friend merely someone she thinks she can convert to her opinion.

If you value her as a friend, find a way to deal with it.

If her friendship is not valuable enough to put up with her constant attempts, then find a different friend.

You tell her that if she wants to stay friends with you she has to stop it.  And then stick to it.

First of all, if you believe in a god, then you are not an atheist, you are a theist. God (capital "G") is the Christian God. All other gods are spelled with a lower case "g." As for avoiding the preachiness, simply tell them politely that you are not interested, and walk away.

excuse me if you do believe in a god you are not Atheist

She is not going to stop so get used to it or end it yourself

You tell her to knock it the hell off, and you've got absolutely NO interest in converting to her religion. Which, either she respects that, and you can keep being friends. Or, if she does NOT respect it, and she keeps hassling you..? You ditch HER @ss!! The fact that she thinks she should be the one who's got the right to ditch YOU, for wanting none of her disgusting, immoral piece of sh*t "this way or the highway" religion, that she is disrespectfully trying to FORCE on you? And that apparently, so do you? Is just SO many levels of screwed up, I can't even!!! :S

Just keep an open mind and an open heart, and maybe you'll begin to see the light/truth. But if she does decide to end the friendship, which I don't think she will or should, but if she does you should simply respect and accept her decision. Don't go pretending you're in agreement with her just to save the friendship, that would ultimately make things much worse between you and her.

Be true to yourself. Your friendship will either survive, or it won't. Real friends accept you as you are.

The fact of the matter: If she is truly a woman of God then she will just lead to you God The Lord Jesus Christ our Lord and Savior and don't push it, because you can bring a horse to the water, but you can never make them drink the water, it is the same with the unbelievers of God, only God The Lord Jesus Christ our Lord and Savior can make you believe in God holy word only, nobody else, because God holy word the bible is truth and man is a liar. Read 2 Corinthians 4:4 read 2 Thessalonians 2:3-14. read Romans 1:17-32, read Galatians 5:17-26, read Ephesians 2:1-10