@MC
Yes, both cards are listed and both cards show up in Totalmix and in Digicheck. It looks to me like the program is working except for the control panel to appear on screen.
The program is stored in Windows/Program Files/ RME. Clicking the icon (hdspe.exe ) results in the appearance of the program icon on the right side of the screen but nothing else.

Sorry, I've been inaccurate
clicking the icon in windows/system32 results in just showing the icon at the right side of the screen.
But it is called hdsp32.exe and not hdspe32.exe.

this is how it appears in my windws/system32:
hdsp32.exe    25-6-2019  670kB

I have installed 439 driver (several times); I have disabled anti-virus software; no results so I am getting pretty desperate

In digicheck both cards are showing up but I can use only those functions that are accesible when checking 'hardware level'; when Asio checked, nothing shows up. There is a signal at the analog inputs (XLR) but nothing shows up in Totalyser.
.
In JRiver I used to choose ASIO Hammerfall DSP(ASIO) but this doesn't work anymore. Checking "open Driver Panel' in JRiver-device settings does nothing; this used to work fine.

I have installed:
9632HDSPeAIO Pro withh XLR breakout cable
9632 HDSPeAIO with both I/O boards
The Wordclock
RME ARC
Totalmix
Digicheck

Could there be an overload? (Everything worked fine until a few days ago)/Windows 10

If the card is not in device manager then this is not Windows, it's hardware or BIOS. Remove the 9632 from the PCI slot, clean its glden PCI contacts with a rubber eraser, put it back in. If that doesn not help the card might have just died. Only way to verify that is use it in a different computer.