Is it normal to be embarassed that i work out?

I work out regularly, and I am in pretty great shape, but I never ever tell anyone about it and I feel like I am hiding it from everyone. Obviously people notice when I go swimming or take off my shirt, but I always turn red or try to change the subject whenever I get compliments.

I think that it makes me feel like I care too much about what I look like or people will think I am a douchebag if I admit to it. I just want to be healthy, live longer and it helps me feel better emotionally especially during the cold winter months and those are the main reasons I do it.

I am very outgoing and confident and it is not because of shyness that I feel weird about compliments.