I have good luck splinting broken stalks and stems with a wrap that can be kept a little damp. Like maybe gauze inside of cling wrap.Tie a splint on either side of the stalk, as tightly as you can without indenting the stalk. Don't worry for a few days about the stalk growing bigger in diameter. Then loosen it a little if it looks like the plant is saved.
Even if the stalk doesn't heal, maybe you can keep the plant healthy until it's finished blooming.