The way I took it was that Louise was using the fire escape ladder to get back into her apartment because she certainly wanted to go unnoticed & the entire building is so badly soundproofed. Remember how Spencer & her are "communicating" through the walls throughout the movie & how he awaits her when she leaves in the mornings?
IMHO, this is actually one of the most ironic moments in the entire movie - Louise running into the one person she was explicitly trying to avoid, both realizing what's going on with each other, while neither of them seems to be shocked about the other. That, actually, fits very well into the entire movie theme - they are all killers somehow, & they don't even seem to be concerned about it.
It's only because Spencer realizes that Louise has some kind of killer instinct in her that he tries to employ her in order to murder Victor & frame him, which - & that's IMHO even more ironic - leads to his own death. Of course Spencer does not know that Louise already left Victor's sperm inside the French woman's body so that killing Victor probably wouldn't have been necessary, which adds another bit of irony.
So all in all, I'd say Louise's & Spencer's clash when she's trying to get back into the house is the most important scene in the movie, not just story-wise.
Bye, K&K,
T-Zee
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