Currently in the new version, the wasp does not spawn that frequently as they do in the current public update.
You can avoid the wasp easy if you dont trigger their spawn points, but they only spawn once from those spots. Its the big one in the middle that spawns them every few mins (except in the new support version they dont spawn that often). If you get caught and bred from them, you will spawn 3 wasp from birthing them.
It only require 2 shots for each wasp, so if you have 10 or 12 ammo, you can fend off a few if you in a good distance