Beth Din question: US vs South Africa

I (male) was born and raised in New York as a conservative Jew. My family is fully Jewish. I’m marrying my girlfriend who is a fully Jewish girl from South Africa, but she was raised in the orthodox community (but she’s more conservative by my standards). The thing is we are getting married in South Africa and she wants to get married in the tradition that she’s used to, meaning we need approval by the Beth din.

I’ll be honest, I had no idea who or what they were before she mentioned this. We submitted all the paperwork needed. I’m wondering if anyone here has a similar experience. She’s worried the Beth din won’t approve us because my families Judaism is unassociated with the Beth din. Has anyone here married a different movement of Judaism (and from a different country), and had issues with the Beth din?