Very hard to say for sure without a picture but it might still be a bit under watered.

Since I've posted this it's still the same, at least nothing changed to the worse thankfully, but I've increased the watering a little bit, and all seem fine till now, it seems it's still drinking a lot of water in this cold weather which is surprising to me, but I check it and check the soil everyday to water it again when it's nearly dry, and I keep the cloth too. Hope this will do good for it.

Stop watering it until your springtime and only keep the cloth on the soil when it’s cold. The sunburn area looks moderate and squishy is no good. If you have a ‘rot line’ where the damaged tissue meets healthy tissue, lightly mark it with a pencil or pen to see if the damage is progressing and check it every few days.

In my experience, sunburn can kill all the way through the stem, or the plant walls off the damage and can recover. Either way, watering yours if you’re in the northern hemisphere right now is not advised. If it’s damaged through, we need to cut and root.

Pics and locale would help. Thanks

-s

This is it now

This is where the sunburn is

The other side and the top

The squishiness is less now, but that spot still concerns me.

I don't know the cultivar unfortunately, I've bought it just last August and it has no flowers then, the local market guy didn't seem well informed about it either, I think it's a rarely-traded species here in a Mediterranean land.

I have one that has those pale markings like your two top stems. I was wondering what that was. I does not look like sunburn.

I think it started to wake up!! ^_^