can u also give advice on why women prefer married men or men with girlfriend?

I think you misunderstood the meaning of pursuit. Pursuit is "the act of following or searching for someone or something, in order to catch or attack the person or thing"

I don't pursue men = doesn't mean I'm passive, just wait at home and expect the right guys to come when I don't even go out to meet people (become an otaku and expect love to fall from the sky).

If I really like a guy, I will make it clear to him that he can take action, and I won't reject him.

Why don't I take the lead? coz I wanna show my respect to him, to build up his confidence level, and help him overcome his self-doubts. If he can't even overcome his struggles to pursue me despite the clear hints and encouragement, then how can he overcome other challenges in his life or career? Plus, when a man loves a girl enough, the fear of losing her (to other men) is greater than whatever self-doubt he has.

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Yeah, being aggressive can make a woman get the guy she wants (if he reciprocates), but then she will emasculate him and play the domineering role = becomes possessive, easily jealous, and perhaps, controlling.

Emasculate = "deprive a man of his male role or identity"; "make someone or something weaker or less effective".

If you like a woman who's like that, then accept her pursuit.

Real life is different from manga/anime/ drama, as in, cute girls confessing to guys, and then this and that... in the end they are happily together ever after.

As for your case, I have a similar story. My aunt pursued my uncle when they were both single, coz my uncle was tall, handsome, good-tempered and gentleman type. You know what happened after their marriage? She yells at him a lot (from upstairs), calls him by his full name, and says things like, "If it's not because of me, you'll still be poor/ useless" etc, and scolds him. They have been married for decades, but the marriage is long broken, and affects the children (my cousins) a lot.

Now that's real life.

Girl pursuing guy is not something wrong, but please be careful as to why she takes this approach and not let you do the chase. Is it because you are too passive yourself, or she has ulterior motives, or she does this to other guys as well, or what? Don't instantly feel happy and think, "Yeah, finally some girl is interested in me and chase me!"

Yeah, you can say it's gender equality or her personality type is like that, but whatever it is, do know that if something or someone behaves out of the norm, it's either skewed to the extreme left (bad) or to the extreme right (good) of the spectrum. Most of the time, it's too good to be true. If it is genuinely good and true, then it can withstand any tests.