Q.desert rose
My desert rose has been exposed to the frost. Branches are going soft. I have had it for about 5 years. Repotted it about 18 mths ago. Should I cut the branches back?
Yes, you will want to cut back the dead plant material.
You will need to wait and see how the plant responds as damage can take days to appear.
The links below have more information.
https://www.gardeningknowhow.com/plant-problems/environmental/tips-for-saving-cold-damaged-plants.htm
https://www.gardeningknowhow.com/ornamental/flowers/desert-rose/caring-for-desert-rose-plants.htm