With a 36spoke wheel, it is possible to ride with a broken spoke. You may need to adjust the spoke tension to get the wheel true enough to ride, but I have done this several times on an old, worn-out wheel. Well built wheels are much stronger than poorly built ones, suffer very little spoke breakage, and when they do break, they hold their shape better.
You can get emergency spokes made of synthetic fibres which work quite well, and you dont need to remove the rear cogs to fit it.
It is worth learning to true a wheel. Its easier than it sounds and all you need is a spoke key. I practiced on my old worn-out wheel, so I wasnt too worried about breaking things.