No no no no no no no no!
Never EVER say you just don't look good in red- there are thousands of shades, and one perfect shade for each individual person!!
You need a cool red to compliment your pink undertone. Look for shades with more blue tones in them, such as the MAKE UP FOREVER (MUFE) Rouge Artist Intense lipstick in 35, a satin BLUE raspberry. There is also shade 42, a vermillion red. I hope this gave you some ideas to get started. My best advice would be to go to your closest Sephora or Ulta and ask them what blue-based red lipsticks they recommend, because besides the recommendation you can also try the product on. Hope I could be of some help!!