of course there is a relationshio there - but it might not be the kind you badly ache for - ie if you wanted a relationship outside the rooms it Wouldn't be ethical for her to agree to that. If you wanted a relationship where she shared her inner most feelings with you, it wouldnt be appropriate either.
can you articulate further what is is you want and what she has said isn't possible? It might help you work out what you DO and CAN have. Its not a black or white Thing I dont think - its not either or.