What constitutes as a fever for someone who runs cold?

I'm not looking for a doctor here; I'm just looking for someone who knows. Most people I've asked about this have just said, "I don't know," and moved on. But I run cold. I'm usually hovering around 96.5 degrees F. I don't get sick a lot, so this doesn't matter that much, but I am curious. If I were to have a fever, would it be what is considered a fever for normal people (over 100 F) or would it be in a normal person's normal range (98-99 degrees)? I hope that makes sense, but it's been bugging me for a while that I can't get a straight answer on what could constitute as a fever here.