I know this is beginning to get a little off topic, but it does relate to His interaction with the prostitute in this episode.
Morse hasn’t treated any of the women he’s slept with like they were sluts (yet.) I’m thinking of Monica and the old friend from his Oxford days. He seemed to think sex was certainly an expected part of the relationships. Those romances failed for other reasons. He has also treated Truelove with respect (Frankly, the squad’s acceptance of her is probably unrealistic.) When he tried to warn Joan off Mr. Bingo, he just said “you can do better” or words to that effect - not “Be a good girl”.
I think he is old-fashioned and romanticizes a kind of family life he never had and that the Thursday’s used to embody. He is also very aware of class, being from a working class background himself. He was rejected by his fiance’s family partly for that reason and never really fit in with some of the Oxford crowd. Joan is a working class townie and seemed to be trying to marry up with a Ray from Leamington. He knows how girls like her can be treated.
The last thing I will say is that seeing so much criminal behavior probably colors his thinking about the perils women face. His world is full of crime, abuse, and bad behavior.
To bring it back to Eve Thorn, he did think she had hammered a spike into a man’s ear and gouged out another’s eyes. That would tend to make one a little disrespectful.