How deep in it am I? Can I get this sorted myself, on a Saturday with Very limited DIY skills?
Perhaps others will have better advice... but I used to hang guitars on plasterboard walls, which meant multiple, big holes created by metal cavity anchors.
I was able to buy something along these lines:
https://www.homebase.co.uk/ronseal-q...r-330g_p427653
and with a few layers (allowing it dry and contract a bit with each) they filled them up well. Only requiring a small paint touch-up afterwards.
Since you have textured Putz on your wall, perhaps you could try the same method, and then for the last layer, just overfill and be artistic and dab the filler to create a similar rough effect? I have never tried this. Just thinking.
Finding a colour that matches might be trickier... I wonder if you could take the peeled off piece and find a test tub of relatively matching paint.
It will all cost you 10 francs. You clean the affected area, and spread the material with the putty knife. Don't press too hard, or you'd "hide" the grains that give it texture. Should take you 2min.
Heat up the sticker with a hairdryer. The adhesive will lose its stenght and will come off way easier without ripping of the wall