Throwing bile everyday?!

I know morning sickness is normal to a certain extent. I can't really say I have it bad. But compared to my first pregnancy this by far has been the most I've thrown up during this pregnancy like everyday. I normally don't eat for supper (past 7) and that's when I get hungry pains the most so I throw up bile sometimes in the morning when I wake up but mainly when I go to bed. Honestly, I don't have appetite it's just my stomach lol if that makes sense. And I have no idea what to eat. Either way I'm going to throw up and my morning sickness is mainly during the night so I prefer not to eat. Is throwing bile everyday bad? Sometimes I burns my throat and it has like a nasty bitter taste. Also, is it bad that I "starve" my baby? I'm 13 weeks