Q-tip cotton stuck in drain site. Should I go to the emergency?

Leaving the foreign body inside your body cavity will likely lead to complications such as infection etc. It is never a good idea to poke an open wound with a non-sterile pair of tweezers you have at home. You could infect the seroma that you have. The problem with going to the ER is they may not feel comfortable getting this out for you. If that is the case, they will call a surgeon or plastic surgeon to do this. That means you will incur not only the ER bill but also the bill from the surgeon. Your insurance may not cover complications related to cosmetic surgery. Have you spoken with your plastic surgeon in Florida?

It sounds like you should contact your surgeon or go to an emergency room to see if the q-tip can be retrieved.  best of luck.