Still waiting for comments on my draft - what to do? Some weeks ago I completed the first draft a paper. I then decided to approach one of the experts in the field, who is working at the same school as I. She seemed interested and were willing to read the draft.  However I sent her the draft ~ 5 weeks ago, and I have not heard from her since then.

I am now wondering if this is normal? Can I send her an e-mail and ask if she has looked at it yet (or is that considered inappropriate?). 

I am getting quite stressed about this, the reason being that my advisor expects a draft of a new paper soon, and it would be valuable to have her comments before I talk to my own supervisor (who knows less about the subject I am writing my paper about).
After 5 weeks, I think you can safely assume that she has forgotten about it. You can either accept that you will not hear back from her, or send a polite reminder.

Most people do not mind a friendly reminder about tasks that they have committed to but forgotten about. It is definitely not inappropriate. However, it is of course possible that she simply has no time after all, but then the right thing for her to do is to just tell you.