worst scumiest mom

my baby is teething. Hes running a crazy fever he won't eat he cant sleep he only wants to nurse i tried giving him Tylenol to help him sleep and to take the fever down but he keeps spitting it up so i read that if you put it in there cheek and blow in there face a little it will force them to swallow while unpleasant i was desperate so i tried and instead he threw up and I'm literally feeling like scum. i can't stop crying and feeling so bad i just want to be able to make my baby feel better.