This is the most common fear, and the most understandable one. Two things to remember: first, the priest has heard everything — there is nothing you can say that will shock him or change how he sees you. Second, deliberately concealing a mortal sin in confession doesn't just leave the sin unabsolved; it adds the sin of sacrilege. A priest once put it plainly: the shame you feel walking in is nothing compared to the freedom you feel walking out. Say it plainly, briefly, and let it go.
📖 CCC §1456 — "Without being strictly necessary, confession of everyday faults (venial sins) is nevertheless strongly recommended by the Church."