Much of the advice in this thread will probably do more to keep your daughter
away from Catholicism than a personalized declaration of anathema.
I have a lot of experience in falling away from the Church
The most important thing to remember is that
this isn’t your fight, if it’s a fight at all. You’re her mother, not a divinely appointed spiritual commando (last I checked those tend to be depicted with wings and flaming swords and have to warn people not to have seizures when they show up at dinner). You have, I presume, raised your daughter in the faith to the best of your ability; you can’t be responsible for her spiritual well-being forever, and from the sound of it it’s time to start letting her take charge of that. Thirteen may be a bit earlier than is usual, but then you said she was precocious
You’ve done your job raising her. This doesn’t necessarily mean rest on your laurels; those who’ve recommended praying through St Monica have it right from the Catholic perspective. But the time for direct action is past.
Don’t threaten to remove privileges (like Christmas presents), it will only make her resent you, and by extension your faith.
Don’t belittle her thoughts, ideas, or beliefs; you will be repaid in kind.
Don’t ‘smack her upside the head’. I hope the poster who suggested this wasn’t being serious, but it’s hard to tell. Results will be disastrous, the cops will be involved, and not by bringing her back either.
Don’t cut her off from her friends and peers. I would lay money that nobody talked her into thinking anything she wasn’t already; doubt comes from within.
Don’t be a passive-aggressive evangelist and hide sacramentals in her belongings. It’s disrespectful, it’s superstitious and abusive of your own faith, and above all it’s criminally tacky.
And if she comes to Mass, request that she not receive out of respect – with the understanding that that respect is mutual. I have mixed feelings on requiring attendance (tending mostly towards ‘bad idea’); forced lipservice is yet another source of antipathy towards religion that doesn’t have to be there.
And now that the ‘thou shalt nots’ are out of the way, here’s what you
can do that may help

Full disclosure, none of these have worked on me, but who knows what may happen?
Pray. St Monica’s been mentioned. You don’t even have to tell your daughter you’re praying for her (personally, I find that sort of ‘oh, I’m
praying for you’ thing repulsively sanctimonious), just do it and put your worries in other hands.
Give her reading material. Avoid the ‘proofs of God’ schtick and other obvious evangelism though, if she’s anything like me (and it kinda sounds like it) she’ll have a grand old time poking holes in it and you’ll be back at square one. And ditch Pascal right off. The idea here is to make a case for religion not by reason but by hope and love and all that. Personal favorites here are Dostoevsky’s
The Dream of a Ridiculous Man, Balzac’s
The Atheist’s Mass, and Bulgakov’s
The Master and Margarita (parental advisory on that last). Best of all, the worst those can do is inspire her towards humanism

I’d only recommend religious reading material if
she’s interested in it, and if so go for the shotgun approach and let her see what people have thought about the divine in all kinds of times and places and cultures.
Show why faith is something to be desired in the way you live your life. As St Francis said, preach the gospel always, use words when necessary. Words are rarely necessary to get the point across – in fact, it’s better if you aren’t trying to make a point at all. Let your light shine, don’t stab people in the eyes with lit candles.
It may seem like you can’t do much to bring her back into the Church (especially compared to how much you can do to royally screw things up!), and, well, that’s true – but you’ve tied your camel, now it’s time to trust in Allah
