Well, we've finally had a time skip. Assuming that Dora has just not cut her hair for a while, I'd say we're looking at several months having passed. We'll need to see outside to be sure but it's probably November or December, in-universe now!
Speaking of hair, was I the only one who didn't recognize Dora at first?

Emily's hair is probably tied back for hygiene reasons, but it's cute.
They live in a world filled with sentient machines and yet Dora is puzzled by people treating the Espresso machine as if it is alive. Then again, given that Emily and Hannelore seem to be
worshipping it, maybe Dora is right to be disturbed!

Seems like Emily is still sort of being trained, though. A couple of months may be too long...
I'm reading it as coming to the end of her probation period. Six to twelve weeks would be about right, IMO.