Well she technically is separate but at the same time she does have the ability to control the ship. It's almost like two individuals (ship's core AI and the Android Rommie). In fact the core AI and Rommie have gotten into a few arguments over her more human characteristics.
So it's like two but they consider themselves as one. Not split personality - multi functioning. If that makes any sense. lol
But anyway to answer your question: the only physical thing that will hinder her is she isn't able to automatically recharge herself from the ship. She'll need to find another source to recharge herself.
However, personality-wise, it's like she lost a limb (or in this case both legs and arms). She can function without the ship but it's who she is (even though she is an android). Makes sense?

Eh it's ours so who cares?
We're good. :)

And ok. I'll try to post here. 
This will be strange. Most of my interaction is through PMs but it will work.

And this should be interesting. 
Everyone is going to be interested in Rommie lol.
Geordi. Data. Riker. Probably not Worf (though once he finds out how well she can fight.... lol). :hmm

And sshhh.. Don't tell them. It's only cheating if you get caught *nods*
At least per Gaheris. 
Did you see the clip I sent you sometime back on him and winning? That sums up it up nicely.