I always had pretty perky nipples. When I got them pierced, they became dangerous! I was always weirdly self conscious of my pokies as a man and began wearing undershirts as padding to make it less noticeable. If it bothers you, wear something a bit thicker, maybe hangs a bit looser on your shoulders.
Or, embrace 'em and #FreeTheNipple. Everyone has a pair (more or less). Just roll with it.
In my head, you're The Spiffing Brit now.