Assalamu alaikum - Need advice about her family looking for other suitors

Assalamu alaikum, sorry if this is a bit jumbled, it's my first time posting something like this. I'm 21M and have known this girl (21F) for six years. We were friends in a group of friends, gaming and hanging out. After a few years we realized we had feelings and, admittedly, started spending time together in a more Western way (one-on-one hangouts, movies, etc.). Lately, after asking Allah (SWT) for guidance and talking things over with our families and friends, we agreed to move toward a more halal approach. I've spoken with her mother and brothers and I'm continuing that process. But in the last few weeks there's been friction: her father (they're somewhat distant) and some aunts have been expressing concerns about marrying a convert. They've said hurtful things like they wouldn't attend a wedding and that our marriage wouldn't be "real." She also told me they've gone, in her words, "behind her back," looking for other suitors. A few days ago she told me she'll let her aunts and father start searching for potential suitors, and that I could "still be a potential." I understand it's allowed for her to have multiple potentials, but I'm not sure how to feel. I love her and she says she feels the same - she even called me her "favorite potential" and said she'd regret not marrying me - but it's hard hearing that and knowing she's still being encouraged to look at others. What do you think I should do? Keep pursuing this, accepting that her family will be considering other men? Or try to move on and find someone whose family fully accepts me and who isn't treating me like just one option? JazakAllah khair for any advice.