She isn't a Catholic priest, so the answer is no.
She's not a catholic but I also don't care so it'll be up to my husband, who will be Jewish.
Uh, why does that matter? You know other Christian denominations do baptisms too, right?
We aren't saying that other denominations don't baptize. We are saying that since we are Catholic we would choose a Catholic baptism which means that Hillary couldn't do it.
But right after that statement she literally says that she doesn't care.
If I did care to have my child baptisized, I wouldn't let Hillary do it, because she's not a Catholic.
Since I don't care, I'll let my husband choose.