I guess you need to give us more information on this walk free. Is she just teaching it? Like, for pay? I know many different fields of study and can teach a vast majority of topics. That doesn't mean I believe all of them. I can teach what others believe about God, according to their chosen line of faith, without my having to change my beliefs. (Not sure why I would want to do that...but still, I could.)

As for the current belief with Catholicism, and whether she is under any church rule to not teach another faith, that's something I don't know. But for the two faiths to merge? not possible.