Josy's Father is paying her tuition, so he has considerable power. But that wasn't my point. Josy wouldn't do anything that would lower herself in her Father's eye's. That relationship is just too important to her. Her love for her Father is a central part of her character.
I don't think she would do that for Maya either. It's just a theory but I think the M/J relationship is already falling apart. We've already seen a preview picture of Josy in the HOT swimming pool in episode 7. How patient is Josy going to be with another separation from Maya because of the situation with Maya's Father?
Think of the dialogue during their 'reconciliation'
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I think it's fairly obvious that this was the major problem when they fought over the summer
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And now they are apart again. And again it's because Maya won't stand up to her Father.
Also look at the episode 5 scene between MC and Josy after her Father's visit.
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This is on a playthru where the MC chose the only friends path. Notice that Josy doesn't begin to cry until she says that she will be happy with Maya. I think on at least one level she is already regretting the loss of the MC, earlier in this scene we hear her saying that she feels like MC and Maya didn't give her a choice in the matter.
Given all of this I feel that it's unlikely that Josy would risk the relationship with her Father, just to make a sacrafice for Maya, especially if Maya isn't doing anything for herself either.