I never hated Skyler, but I used to not like Skyler. She doesn't make a very good first impression I feel.
When someone first starts watching the series, they're completely rooting for Walt 100%. You have this humble science teacher, working two jobs to support his pregnant wife and disabled son, and then he gets the cancer bomb dropped on him. So he makes a very admirable, though misguided, decision to start cooking meth and putting himself in dangerous situations to make some money for his family before he dies. How can you not be on his side?
Then he's got this inattentive, ungrateful shrew of a wife who's *****ing at him about credit cards and everything else under the sun, while he's out there risking his neck for her. It's very easy to dislike her. I think most people come around to her some in the second season, when she becomes a little more fleshed out and you start get a bit more of her perspective.
To be fair I also had the same response to Hank. Didn't like him at all in the early seasons. He was a total meat-headed buffoon, and more importantly a meat-headed buffoon that could put a kibosh on Walter's money-making, but he's become one of my absolute favorite characters on the show.
As the series goes on and you start to see more of who Walt really is, you learn more about his past and what makes him tick, and of course how sinister and ruthless he becomes, maybe you start rooting for other characters more. Your perspective on things changes. Especially on rewatches. It's going to be very interesting to go back and watch the early episodes knowing what we know about Walt in hindsight.
Back to Skyler though. I first started liking her when she pretended to be giving birth when those security guards detained her when she was trying to return the stole tiara. More moments like that, like when she tried to break into Walt's apartment, her early dealings with the carwash, and when she pretended to be a ****ty secretary to help out Ted all really made me like her a lot.
Anyway, long story not so short, just like I don't know how anyone can still root for Walter, I have no idea how people can harbor such animosity towards Skyler this late in the game. I really don't get it. It's bizarre.