"Londonlover - I'm quite sure you're not doing this on a whim, so you will have contingency plans for the father to see his daughter."
I'll bet she hasn't, Le Chat, - otherwise she would a) have talked to him about it b) mentioned the contingency plan in the question, and asked if it was reasonable, and c) therefore not be worried if he was going to stop her.
As for dad moving to London, I'll bet she is getting maintenance etc, so what happens if he moves and can't get a job in London, at least for a while?