You shouldn't wash your hair everyday. It can dry out your hair and scalp, potentially causing hair loss. But you should shower every because you most likely have sweat during the day and sweat smells bad and is gross.
As a trans woman I can tell you from first hand experience that that is testosterone's doing. If you also have hormonal acne (or have had it) then that is a sign of excessively high t levels and a doctor could prescribe a low dose of spironolactone to help clear that up, do with that what you will