Seriously!? That is utterly ridiculous and, in my opinion, totally emotionally abusive. I really think you should consider leaving before it turns physical.

As one poster noted above, I actually do most of the cooking in our household, my wife and I share laundry, she handles the bills, I do the yard work and labor intensive stuff ... but there's no rule on who does what. If something needs done, one of us does it. Like if a couch needs moved and I'm not around, she pushes it to where it needs to go. If bills need paid and she can't do it, I handle them. It's all about working together as a team.