介意 (jiè yì): to care about; to take offense; to mind

If you don't mind, I'd like to open the window and let some fresh air in.

She says it's fine on the surface, but deep down she really cares when others call her fat.

He never minds working overtime, as long as the project can be finished on time.

When I first met her, she was very sensitive about others asking her age.

Do you mind if I turn the music down a bit? I want to focus on reading.

He doesn't care much about what others think of him, as long as he feels he's doing the right thing.