You receive low income housing. That likely means the government is paying part of your rent, even if it is not out in the open. If a similar apartment would rent on the fair open market for $800 and you pay $400, that counts as the government providing $400 per month of your household support.
People who receive housing suppprt often receive other forms of suppprt. You may not, but it is important to give a complete answer to the question. And it is not unheard of for people who live together to claim they live separately to qualify for increased benefits. If you don’t do that, that’s good for you.
And I don’t see why you think it is insulting to suggest your spouse might be helping you with living expenses.
The answer is what I said in the first paragraph. To file as head of household you must live separately from your spouse, and provide care in your home for a qualifying dependent, and pay more than half the cost of maintaining that home (rent, utilities, insurance, and so on). When assessing whether you pay “more than half” the total cost of maintaining your home, you need to consider all forms of support that help you out, which might be nothing, a little, or a lot, depending on your situation.
I can’t see your tax return so I don’t know your income and I certainly don’t know your housing expenses.
