Be honest everyone, is saying a woman that she looks "cool" really a bad thing?

So I will share about my Saturday's outing. So I again went to the Central areas of our city Bangalore in India and I socialized a lot that day. Yeah starting with Cafes in Indiranagar where I socialized with several Indian women, then in 1MG Lido mall where I socialized with a German exchange student and then an older Korean woman who is a tourist then several interactions in Church Street where I had micro-interactions as well as just passing by greetings saying hello while walking and some brief interactions in Lavelle Road with an Italian woman who was waiting for her cab and then again returning to Church Street at evening and socializing with a nice Polish woman and then another stylish Indian woman in the open courtyard region. But I will share about what I meant by saying "cool". So that day I did this new thing. If a woman engaged back decently on Church Street, while ending the interaction, I would say "By the way you are looking cool. Anyways have a great day" and then walk away.

So I will share what happened with the Indian woman in a stylish dress I talked with in the courtyard area of Church Street. She is also in her 20s and I am 25 and we talked. She engaged decently. So the song Shape Of You by Ed Sheeran was being played in the background so I said her too "Nice song. It gave the perfect vibe to say you hello" and then I shared about being an MBA graduate trying to social. So yeah before ending the interaction too, I said her "By the way you are looking really cool. Have a great day" and I walked off. Would you really consider calling a woman cool as a bad thing? Is it really as intrusive or bad as calling a random woman I just met pretty or cute or gorgeous or would you consider "cool" as a more neutral compliment? Be honest.