depending on what the room is for, it may not need any means of egress other than the door you walk through to get into it. I suppose, you could even have a room with no means of ingress/egress but it would be very useful though.
Bedrooms are typically the type of room that requires a secondary means of egress. Generally the requirements are quite specific so you would be best served by actually speaking with the building department about the situation.
the city will give me an appointment in 2 weeks... i don't think i can wait that long
Well, if you can't wait that long, be ready to redo what ever is required. Since they have final say so, what we tell you here, if it does not match what they require, is meaningless.