Temperature going up like that is actually a good thing. Your body temperature rises when you're sick to kill the disease. So its better to not take medicine that reduces your temperature and let nature do its work. (God I sounded like a Karen at the end there.)
Edit: Incidentally, a bit of alcohol would actually help you recover faster! But don't drink too much, that would cause other problems on top of your illness...and you don't want that.. lol