I would suggest that such a situation makes you happy. Happiness does not imply the lack of struggle or difficulty. In fact, I think most people need struggle and difficulty in the mix in order to be happy.
I think a better term in the context of this discussion is "satisfaction" over "happiness".
It's hard. Life is hard.
Not to get too philosophical, but I honestly don't think that things make people happy or unhappy. Happiness appears to be a choice. I say this based on my observation that I've known people who've lived in objectively awful circumstance, but were genuinely happy -- and I've known people who've lived in ideal circumstances, but were miserable.