Toni - Leave the branches and stems alone, especially since they're still green.

i'm guessing they're in pots. what type of mix are you using, and does it drain well?

are you sure the lower layers of your mix are almost dry before water? if its still wet below, the roots are just sitting in water day after day.

Hey Toni!

Of course we know you are using a good draining mix.
As for the branches, I would leave them if you want to see them sprout in new growth as the weather cools. You of all people have not killed or injured the roots. When it gets that hot, our trees do funky things.
As long as they are green, they will be ok. It may take quite sometime before new leaves come back, but if I know your care, they will come back faster than most.

Good to see you and hoping you are well:-)

Mike