My swordmage would feel that he could do a better job, he'd view the job of 'god of death' as being a responsibility to guard the souls of the dead from anything bad happening to them until they could move on/be collected by their god/be returned to life if they need to be; and he wouldn't particularly feel that she was doing a good job of that.
My Paladin of Corellon would view her as a potential threat to his god and would worry about her control of winter and her ambition leading her to try to make it last longer, cutting into Corellon's spring and weakening him. He also happens to like winter(He's a half-"elf" with a Ghale of Winter as his mother), so he doesn't want something he finds beautiful in the hands of someone he views as being ugly.
My Seeker thinks the gods other than Corellon and Melora can go screw themselves, and that those two can go screw themselves too if they start mucking with things too much. He's also had his entire tribe wiped out, so he isn't going to be fond of anything to do with death. He'd be the least likely to actively start trying to kill her unless the spirits wanted it, actually, but he wouldn't help her either.
Etc. Lots of reasons to want her dead, most of which by the time you got to Epic you'd likely be able to know about in-game.
Well, OK, not *every* 4e character. My Eberron and FR characters for example...

(Although the guy playing the friggin' Shadar-kai in the FR campaign is of course trying to worship the RQ, it's on his sheet, and I know it's going to come up. Good thing I'm a cleric there so I can lecture him all about his religious misconceptions.

)