Tomato face

I’ve been coming to the gym for about 3 months now. And I’ve noticed that 10-15 minutes into my routine people start staring at me, at first I thought maybe I’m making funny faces or something but when I glared at myself in the restroom mirror, I noticed I had gotten as red as a tomato... and I felt so embarrassed... I didn’t know what to do... but hide in a stall. I have social anxiety and feeling the slightest stare or feel of insecurity I blush... but how my face gets is exaggerated. I just wanted to know if It’s just me or it’s a fair skinned person problem?