Chipped tooth/ pain

[Smalm]

I chipped my tooth from accidentally biting on a fork that I didn't stab far back enough in my food/ I did this afew hours ago and was wondering if I can feel horrible pain when I put my finger where it got chipped and a throbbing that is annoying otherwise... Should I go to a dentist to get it filled? it's not too big, about the size of two pine needles next to eachother but half the length, should I go to a dentist to get it filled? also it's visible if you look at my smile.