Everyone has given you good advice but here is my tale of caution. Lower your intensity. I rode (granted it was a century) with what I thought was allergies in August. Ended up with a sinus infection 10x worse than I had ever had because I didn't think anything of it since it wasn't in my chest. I have heard if it is in your chest stay home, in your head go on.

The weird thing is my doctor told me even with bronchitis I can ride, just not in the cold and give myself a few days to enjoy my cough syrup first.