Is it psoriasis, a virus, or fungal infection?

A 20-year-old female presents with a red scaly rash affecting her trunk and arms.
It came up suddenly and is itchy. She is otherwise well and has no chronic health conditions.
She completed a course of penicillin for tonsillitis two weeks earlier.
On examination, there are small red papules and plaques on the trunk and arms, with fine overlying scale (see image).