She can shapeshift, which is what she does when she has occasion to leave the grounds. Granted she still has blue hair -- but I understand that mutants are not currently so badly stigmatised.
But that is why I was asking about the property, whether it was unused; she isn't going out there if there's any real risk of other people being around. (I assume Grymalkin Lane doesn't see much traffic either.) Another question is, would she would even know that the property across the street does not belong tot he X-Men?
So, do you want me to start the thread? I was thinking that after she went over to see what it was, she found a moment when the Professor was free to ask him about it. I'm not sure when such a time would *be* however; she might just wait until they had another training session together. I could also see her just asking one of the other teachers, but nobody else has responded to this thread so. xD