Advice for baby with fever

My 2 month old received her vaccines and was fussy for the the first hour, took 2 good naps, and is eating fine. Around 9pm she was hot on her forehead. I don’t have a thermometer. (Will be buying one tomorrow) her cheeks were cool to the touch. Tonight I went to check her while she is sleeping and she wAs sweating. I have her baby Tylenol around 9:45 pm. She spit it out, I don’t want to wake her because she’s sleeping fine but she still seems hot. What should I do??