I just got my tongue pierced 2 days ago and it's been going good but it's the front right corner of my tongue that's bothering me. It's feels kind of numb & stings I guess I really can't explain it. Is this apart of the healing process ?

Could be. When you pierce the tongue you're going through muscle, blood vessels and capillary beds, as well as possibly nerves. Chances are you might have nicked or pierced the nerve. If you can I would get it looked at by a professional.