Will it be difficult to get married after the mid-30s for a man?

I am 35.
My current girlfriend has amazing qualities in many ways
(looks, family background, education, assets, job, values, MBTI... it's like an Exodia combo...)
But she has a bit of a strong personality, and since she loves drinking, we had a huge fight recently.
She also made a major mistake, and anyway, I was seriously contemplating breaking up,
but then I was struck by the fear that if I break up with her, my chances of marriage are over.
The cold, hard reality..