I don’t know the particulars of your family situation or what your daughter is like, but I remember what kinds of relationships I and my girlfriends had with our fathers at age 13 pretty well.
One thing that stands out in my memory is that the teenage girls with divorced parents often took advantage of the fact that their dads were WAY more lenient with them than their mothers were. They abused their dads’s more easygoing (or sometimes just plain careless) approaches to parenting and used their time at Dad’s house to go wild, because they knew that they weren’t likely to get caught, and if they did, that Dad wasn’t likely to punish them much, if at all.
Is it possible that your daughter has chosen to live with you because she thinks she’ll be able to get away with more at Dad’s house?
I’d urge you to try to avoid letting this happen. I had several female friends who spent huge chunks of time with their dads post-divorce at this age. All those dads were lackadaisical about parenting, and all those girls ended up with messed-up self-images, messed-up ideas about men and relationships, and messed-up futures in which they didn’t realize their full potential.
I guess what I’m saying is, if you’re ever questioning yourself, err on the side of being too involved and with your daughter, instead of not being involved enough. My own experiences tend to indicate that having a really involved dad is more important after a divorce, especially if he’s the primary parent.
And by “involved”, I mean as a parent making rules and staying informed about her life–not just as a buddy.
Should be obvious, I know, but I never personally met a divorced dad (and I’ve known quite a few) who didn’t make this mistake. She needs you to be the Big Bad Dad sometimes, laying down rules and enforcing them.
I’m not saying you should become a little Hitler, either, but I’ve never actually seen a divorced dad have problems in that direction. I guess it happens but others have already addressed that end of things.