Should I exfoliate if my skin has bumps but also stings?

Settle the stinging first. Bumps do not automatically mean you need a stronger acid, especially when your skin is already uncomfortable. For me, the order matters: stabilize what is reactive first, then decide whether the remaining texture truly needs exfoliation.

Treat the stinging before the texture

When cleansing or moisturizer already stings, I do not want to add another source of irritation just because the skin feels rough or congested.

Bumps do not always mean more exfoliation

Texture can have several causes. Once basic care feels comfortable again, then I would reassess whether the bumps need exfoliation, acne treatment, extraction, or something else.