So, does anyone else get minor skin reactions to foods that disagree with them?

Specifically in my case wheat flour? I'm not coeliac, but I do avoid wheat and grains because EVILGLUTENFEARINGHIPPIE it makes me feel sick and horrid. However I do a fair bit of baking for work and the backs of my hands get really irritated. I did think it was the washing up liquid or handwash, but now I'm not sure.

And no, I can't tell you why it's specifically the backs of my hands