This happened to me once about a handful of years ago, and it happened because in spite of actually getting the job on technical merit, they were a funded NGO who's benefactors demanded at least an undergrad to work in the company. True story, it happens.

This rules out a lot of government jobs. I personally finished my bachelors after I was already making 6 figures, but it’s a complex issue.

I seriously dislike degrees as a signaling mechanism. Maybe you just didn’t have parents who could afford to front $100,000 for you to attend college. Maybe you didn’t want to take on student loan debt.

It shouldn’t matter at all if you can get the job done.

If you want to explore immigrating later it’s probably worth having.