Psoriasis is a well documented but uncommon side effect of TNF inhibitors of which Enbrel is one.
It’s very possible that you don’t have Psoriasis except as a side effect.
I developed Palmoplantar Pustulosis about a year after I started Cimzia. First it was diagnosed as hydrotic eczema, but then the pustules began forming. It was another full year before I convinced my rheumatologist and dermatologist that it might be a side effect. I then switched to Orencia and although it took several months, my skin completely cleared and now it’s as if it never was.
I think if I’d switched biologics sooner I’d have healed up faster- but hindsight is 20/20 of course!
Good luck!