I think they're referring to this symbol:
View attachment 1378
which is the universal symbol for "female" and which does look similar to a hand mirror. Venus is the goddess of love, sex and vanity, and there are many famous paintings depicting Venus looking at herself in a mirror.
I think the symbol above is what was on the man's bow tie in your piece.
Thank you.
Does "reflection" mean "a calm lengthy intent consideration" there?
Where do you mean when you say "there" in your question? I cannot see the word "reflection" either in your original post and it's not in my reply.