Riding on it is OK short term, but a month may be pushing it. OTOH it isn't necessarily going to create more issues, as long as your luck holds, so it's a bit of a coin toss.

I suggest you call the shop, explain your work situation and see if they can schedule the job for a fast turn around, within the next week or so rather than waiting. If your luck doesn't hold the wheel may worsen to the point that you can't ride it all then you'll be stranded. I also wouldn't try to compensate by loosening other spokes unless you're comfortable with aligning wheels. Transport you depend on for a living isn't the place to try to learn by trial and error.

If you can get from the shop to work, walking or by getting a lift from a friend, consider the possibility of locking the bike in front of the shop on your way to work and tossing the key through the mail slot, then picking it up on the way home, possibly using the same gimmick if you have 2 keys.