Welcome to the forum. Thanks for your question.
I agree exactly with your doctor: the risk of HIV is nearly zero from this sort of sexual exposure, and from a risk standpoint, HIV testing isn't necessary. I also agree that your symptoms are not at all suggestive of a new HIV infection. Both the timing and nature of the symtoms are inconsistent with ARS and do not require HIV testing.
On the other hand, you're obviously worried about it -- and most likely a negative HIV test would give you more confidence about it than all the verbal reassurance either I or your doctor can give you. So for that reason, in my opinion you should be tested for its reassurance value. Anyway, all sexually active people (outside mutually monogamous relationships) should be tested for HIV from time to time, like once a year -- so this would be a good time, while it's on your mind.
My advice is that you contact your doctor and tell him you still want HIV testing (you could even print out this thread and discuss and maybe fax it to him). I'll bet he'll agree with my reasoning. In the meantime, don't be at all worried. This advice does not mean I really believe there is any significant chance you have HIV; I definitely do not.
And by the way, you don't need to wait for the mythical 3 month mark for accurate testing. If you have any questions about that aspect, see this thread:
http://www.medhelp.org/posts/show/1704700
I hope this has helped. Best wishes-- HHH, MD