I think detecting “crazy” is even more important for women when it comes to OLD. The plot from “Fatal Attraction” aside… as a woman, paying attention to our intuition when it comes to weeding out the crazies, could be a matter of life and death so I don’t try to second guess it too much…especially when it starts screaming at me after two texts.
Yes - women have a lifetime of having to be on the lookout for dangerous or creepy men. The consequences can be dire of we miss the signals.
But even if it doesn't set off the creepy-meter, guys who come on too strong before even meeting and getting to know us, it feels like they are not interested in who we are as a person. And I, like most women, do not want to be with a guy who is ONLY interested in my looks, or just sex.
An appropriate expression of interest from some guy I meet online would be something like "You seem like a really interesting person that I would like to get to know better. How about a (coffee date, meet for drinks, whatever low key initial meet)?".