Not a good idea if she's the one who wrecked your home. It would be different if she met your ex a while after you two split.

She's got some nerve to be asking to be your friend. If anything, she should be asking for your forgiveness. And if she felt any remorse about the past, she would know that she is not worthy to be asking for your friendship.

A sincere apology must come from her first, before you can even consider her request.

That would be true with any of your friendships, right? If one of your friends did something detrimental to your family, you would require a true apology from her before you can consider resuming a friendship with her.

Hugs to you.