Trinity meeting Neo in the goth club in the first movie was super dangerous, no?

I'm sitting here watching the first movie again, and just got to the scene where Neo followed the White rabbit to the goth club.

Do you think that this club is full of exiles, some sort of pseudo-safe place where the agents don't look? I mean, the Merovingian had a place to hang out - several it seems - so there's definitely areas of the matrix where agents overlook.

Or is Trinity taking a huge risk here.