Just wonder how late is considered 晚婚.
If before mid 30s, probably isn't too bad, but if it's like late 30s or 40s, then most men of that age were either married, or separated, or divorced, and if you marry any of those, the relationship will be more complicated. You will have to deal with his previous marriage(s), like legal problem (assets), children from previous marriage(s), and ex-wives relationship. May not worth it.