As with candidates without a degree, non native English speakers have a harder time securing employment. Many online companies tend to prefer native English speakers. However there are employers who accept qualified non-native candidates with strong English skills and a neutral accent (this can be demonstrated in your video introduction).
One strength that non-natives hold over native English speakers is the fact that they themselves have gone through the process of learning the language. This means non natives have a more intimate understanding of the difficulties faced by EFL students. This can be highlighted as an advantage in your cover letter and video introduction.
Besides a strong cover letter and video introduction, a certification of English proficiency from a standardised English proficiency test is a great asset to your job search arsenal. This includes tests like the TOEFL, TOEIC and IELTS.