What to do if I can still get strep throat if I don't have tonsils?

Yes. A tonsillectomy removes the prominent palatine tonsils on either side of the back of the throat. However, there is tonsil like tissue located in patches around the throat and roof of the throat. That and the rest of the throat tissue can become inflamed with a strep infection. Removal can reduce the intensity of symptoms but does not eliminate the risk of strep.