If your skin keeps getting irritated, the body's protective response thickens the horny layer, making skin rough and hard, and pores become more prominent.

Literal

Irritation [object-を] continue-to-receive [if-と] skin [attributive-の] protective-function [due-to-により] keratin-layer [subject-が] thickens-[and-て], rough-[mimetic-ゴワゴワし]-[or-たり] hard become-[and-て], pores [subject-が] prominent come-[continuous-てきます].

Beauty/dermatology explanation. Several compound constructions: 受け続ける ('keep receiving') uses ~続ける; ~により ('due to, by') is formal 'by means of / because of'; ゴワゴワ is a mimetic for rough/stiff texture; ~たり~たり lists representative states; 目立ってくる uses ~てくる for a change coming into view. 角質 ('keratin, horny layer') 肥厚 ('thickening') are dermatology terms.