I took off tape on my nose. Will this affect my results?

You happened to have chosen one of my favorite operations. Conservative, understated less is more rhinoplasty is detailed and complex, always with an eye toward understated natural beauty. One should never remove tapes or any other dressing that your plastic surgeon has put in place. It is there for a reason and and must be respected. Applying tapes yourself can actually potentially make matters worse since tapes are not just tapes but are holding certain structures of the inside of the nose in place so that the final result is beautiful. My best advice to you is to go back to your plastic surgeons office and find out where to go from here. Sincerely, Barry Weintraub M.D., 

Taping is used to help reduce swelling postop.  If not used it may extend swelling somewhat but should not affect your final result.  

The most important opinion with this issue is that of your operating Surgeon. If your tape came off, you should ask his/her opinion about whether it should be replaced. I am not sure why any Surgeon who has performed your surgery would refuse to see you.  Was the surgery performed in the United States? Although I believe in keeping tape on the nose for the duration of the 2nd week, this is unlikely to have adverse long term consequences.

In my opinion, not wearing the tape sufficiently according to the advice of your physician could result in a persistent hump deformity since the skin is not compressed against the underlying bone and cartilage. This is not necessarily always the case but can contribute to a less than optimal result. I would follow-up with your surgeon or another in your area to seek their advice. Good luck.

Taping is useful after a rhinoplasty.  It is surprising your surgeon will not "make post-op appointments", although it sounds as if he saw you 3 days ago.