As a woman I am the best to answer this! Times heals, injuries heal, emotional upset fades away.... but WE GET WRINKLES ! Aaaaarrggghhhhhhh!

It means that over time, as we grow older, many problems seem less important ( they are "healed") but as we age our beauty fades ( a poor beautician)

It means although time can heal everything (almost everything) but it leaves a mark, a scar behind.