Whilst I think that it's very contrived that they just so happen to be there at that time, and that they just so happen to be talking about him, I think that it also makes for a good moment of drama and good chance for MC to prove himself to her
I also know MC is gonna die, but I think him and this chick could make for an interesting dynamic and potential love interest given that they've both been abandoned by society essentially and that they parallel each other's struggles.