This is a perfect learning opportunity. Watch what the plant does in response to what you've done. IF you "listen" (pay attention to what the plant does, whether the stem lives or dies and what new growth emerges from that cane, when and where, etc...), the rose will "tell" you what it wants and what it will do. That is literally how you learn to "speak rose". Just DO whatever you're considering doing, even if it's potentially lethal for the plant and see what the plant does in response to what you've done. Most likely that little piece may remain viable for a little while until the flower fully opens. Blooming is ovulation so the flower can be fertilized and seeds potentially formed, so Nature has enabled the plant to endure quite a bit of trauma and still persist. Even under perfect conditions, that piece is likely only to survive long enough for that flower to either be fertilized and result in a pregnancy (hip with seeds) or just dry up and fall off. New growth will most likely result beneath that bend because that's where the more mature buds are growing. If you allow the spent flowers to eventually dry up, you'll notice that most of that stem piece normally dries up with the unsuccessful hip attempt, so it's "expendable" to the plant.
Of course, explore and experiment like this. In some cases, you can literally save bent and crimped canes lower down the plant and have them heal and continue producing the growth and flowers desired. Other times, they won't, but observing and "listening" to what the plant does in response to what you do will teach you what to expect and how to manipulate it to do what you want it to do. With practice, you will develop the ability to look at the plant and have it "tell" you what's wrong and what it "wants" from you. Good luck!