"shame" can be defined in a couple of different ways. You're fixed on the feeling of humiliation. It can also be used in place of "pity" e.g. "It's a pity I did

"shame" can be defined in a couple of different ways. You're fixed on the feeling of humiliation. It can also be used in place of "pity" e.g. "It's a pity I didn't win the lottery." I don't feel ashamed about not winning, it's just a shame as it would've been useful to me.