I started going to the store and cooking lunch during work hours.
Then I also get complaints about not doing the dishes while I'm working.
It was nice when the work and home were separated and I just did all my household chores on my non-work time. Now I'm constantly interrupted.
“Hey, I’m busy earning money. Because I’m sitting and thinking doesn’t mean I’m slacking off, and I’m also quite surprised to hear that from my significant other. You don’t know what I’m doing right now and you’re not my manager, so stop controlling and managing my work time. You’re distracting me from my work so please leave me alone. If you can’t look at me thinking and doing my work then please look the other way or go to the other room. Thanks, bye.”
I’m dramatizing, but set boundaries. There’s personal time and work time. When it’s work, it’s work.
That's a long road.
I think it's fair to ask you to pull your weight with the housework but maybe try setting some standard boundaries e.g. between 8-5 or something, so there's no need for an interaction ('are you done working?'). If you're conveniently 'working' every time she asks that's not going to help.
Or you could ask her to do your work while you do the dishes/cook/etc.
My suggestion would be that no matter what you decide, propose the idea proactively. Don't wait until there's an ask on the table.
Ehm... how should I put it... I think your issue is not the separation of work and home per se, rather the separation of you and your SO.