Tattoo

Hi girls, I'm 20 years old and the reason for my post is that I want to get a tattoo.
The thing is that every time I get piercings (I know piercings and tattoos are totally different) my body rejects them.  
(For example I got my lip pierced (professionally done) but it was always swollen & I also got my belly button pierced and it was like clear blood. Lol.)
Anyway, I just want to know if I can get a tattoo without my body rejecting it. :(
Idk of that made sense. 
Is there anyone that I can talk to in specific? 
No rude comments please.