You weigh about the same as my last boyfriend when I met him, he's a couple of inches taller than you that's all.
Other people would make comments about his weight all the time. Since I knew his body better than them, and his ribs weren't sticking out, he seemed perfectly healthy to me. The only issues he ever had was occasional low blood pressure (which I'm not sure is related) and he gets cold easily. Only gained 14lb ish in 10 years and people still insist he's "too skinny". I think they're projecting tbh, as if making him eat is gonna make him taller or stronger at this point. He eats like a goddamned horse anyway, so telling someone naturally skinny to just "eat more" sometimes has no effect.
He's never been sick or had any issues at that weight. I'm bigger than him and have more muscle mass etc. but I know he's not me and I wouldn't tell him to get to my weight or build or whatever. People tend to do that, if they eat a lot, they expect everyone else should too, or think their routine should apply to everyone. People are different and they have their own ideal conditions.
As long as you're healthy, your bones aren't sticking out and you're not too weak to do what you need to do, what's the problem? As long as you're not anorexic... you don't want the issues with breaking hair and other stuff from mal nourishment with that.
