
Why do women love Anders? Is it his anarchist/martyr/renegade image that gets you?
I was wondering when someone would show up and tut-tut-tut at us for not playing the game properly. I'll answer your question with an equally fallacious question of my own: what is it about the Anders romance that makes men so insecure that they have to show up in threads and deride people for liking him?
(did u see wat I did thar? how I made silly assumptions about you and what you like and how Anders makes you feel, and wrapped it all up in one condescending question specifically tailored to make myself feel good without actually looking for an answer? because if I had wanted a real answer, I would have asked politely, and with respect.)
But on the off chance you're actually being serious there are some assertions I'll have to challenge. First of all, do not assume that ~only women~ could possibly like Anders as a character because that is terribly untrue. In my experience he's very popular with sexual minorities, many of whom are not women. So you need to get rid of that preconception, right now. You may be seeing the effect of social media in that women are more likely to congregate and talk about him publicly. But you're not getting that full picture if you think that's the only thing that could possibly count.
Secondly, do not ask for reasons as to the "why" of liking a character and then just fill in your own without waiting for an answer. Mostly because that reasoning is fallacious as hell! Why would you assume that people only like Anders because of his renegade-mass-murdering act? Why wouldn't people like him for other reasons?
Because he's...pretty? Or because he's...funny? Or because he's...a heinous ass to almost every other companion in the game in party banter, to the point where you just sit there seal-clapping like a moron because you're laughing too hard to make a sound because those put-downs are so beautifully crafted? Or maybe it's because he's sincere in his affections? Or because he moves in with you and can actually stand to be in the same room with you? (I understand why Fenris had to leave...but man, it still sucked, for both of us I think.)
In case you can't tell, those are some of the reasons why I like his character. Which have nothing to do with his sodding cause or the fact that he got his manfriend kicked out of the city, on purpose, when he blew up the Chantry at the end. And so, in closing:

(source)
LOOK AT HIM. LOOK AT HOW CUTE HE IS. How can you see that and not love him? I mean really.