"A women does not become pregnant when implantation happens. She is already pregnant when that happens. This means that a drug that prevents implantation is by definition an abortion inducing drug--not a contraceptive drug."
And how does the hospital know a woman has conceived given that she was probably taken to the hospital after the rape or the next morning?  Emergency contraceptives have a very limited window to work.  Does the attending physician check the rape victim's cervical mucus and ask her intrusive questions about her cycle and only give her the contraceptive if he is satisfied she hasn't already ovulated?

"Any institution that operates under the name "Catholic" cannot provide services that are contrary to the Catholic Faith. "
So the Catholic Church shouldn't be operating multi-billion dollar businesses then and pretending they are non-for-profits.