Be touched with pity... be touched to the quick, be wounded (hurt) in one's feeling.

Động lòng trước cảnh tang tóc

To be touched with sympathy at the sight of death and grief.

Câu nói không khéo làm anh ta động lòng

The awkward remark touched him to the quick.

Ai nói gì mà anh ta động lòng

Please don't feel hurt, nobody has made any remarks against you.