Should I be offended that my man very obviously look at other women while walking with me and holding my hand?

So he has been single for 8 years before me and I understand some things stick with him. I do not mind the fact that he sees women on the street but I, personally, turn my head on the other side when I see a man approaching due to respect I have for my man. Him on the other hand crosses the look with every single girl that passes next to him, even double check some of them.

The other day he was holding my hand and telling me a story when a girl crossed us. He paused speaking looking her way. I didn't say anything I just let go of his hand.

None of my bfs did that before. So I am not used to that. Is that offensive or I am the problem?
Should I be offended that my man very obviously look at other women while walking with me and holding my hand?
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