Arsene, if you are comfortable, could you give us an idea of the culture (location) of where your W is from and where you are from?
Some of the behaviours both of you are exhibiting could be uniquely cultural to each of you and could also be part of the friction the both of you might have in attempting to R.
ie. Some cultures, the men are simply aggressive and "take" the woman they want. You also indicate that your W may be looked down on for having left the M? I can't remember, was that it or was it for having the A?
What will determine your value and desirability as a singer will be determined by the audience. How you learn should be just as important as who your intended audience would be. Again, this could be very cultural in nature. If you are attempting to perform native works to the locals, they may not find you desirable. OTOH, if you are performing american (or ethnically natural to you) works, then you will certainly want to learn from someone who is successful or capable of training in those genres.
As far as helping her with her computer, do it as you would any friend. With no expectations. If she's asking you, it's possible it's either out of convenience or it could be because she trusts your expertise, or... it could even be to keep a connection with you... but no matter what, that would be her reasons, so have no expectations if you do help her out.