getting a real job outside the home

It refers to the idea that women (or men) who stay home and raise children aren't really working since they aren't being paid for their work.

"To get a real job outside the home" means to get a job that pays.

I'm not sure why the writer thinks this would be a more satisfying threat, as the sentence states. I think she means it would be more personally satisfying to get paid for the work she does.

Thanks!