Help, my dishwasher's broken. It's making loud, obnoxious noises and it's dripping blood.
Are you implying that there is something dead inside of your dishwasher?
No, the dishwasher is simply a woman.
Jokes that suggest that women only exist to clean and perform chores are an unfair stereotype directed at half of the population. But it is much worse to make fun of people who have suffered abuse or injury. If you wouldn't want someone to laugh at you when you were hurt, you shouldn't be so quick to laugh at others.
I honestly don't think the joke is that bad.
I highly recommend you reconsider. Not only is the joke sexist but it is promoting abuse of women. Telling jokes like this is highly unacceptable.