I think it's up to your dd OP.
She should be old enough to make up her own mind, and to be frank, it's none of your business what religion she is.
You may have reservations about the Catholic Church, especially in the light of the Tuam disgrace, etc etc....(the list goes on doesn't it) but whether your dd chooses to follow a catholic faith is none of your business.
Fwiw, I'm in Ireland, and our local school is catholic, but my dcs CHOSE not to do their communion themselves.
Be prepared for the back stabbing from the mums who think you're "up yourselves", or worse still, Atheists!
UK posters, schools in Ireland are predominantly faith based and 90% of them are RC, so no choice is available- there is simply no other option other than a faith based school.
It's a completely different story to the uk where you have non denominational and multi denominational state schools.
All the state schools are faith based, which is the cause of much resentment, considering they are tax funded, but that's a whole other thread.