You know what it looks like… but what is it called?
TAKE THE QUIZ“if you don't mind”
The following 2 entries include the term if you don't mind.
if you don't mind my/me asking
idiom—used with a question as a polite way of asking something that could be annoying or offensive
if you don't mind my/me saying so
idiom—used with a statement as a polite way of saying something that could be annoying or offensive
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Merriam-Webster unabridged