When KDE won't start, it may be due to a huge variety of reasons.
Use this page to document further the debugging workflow that will lead to the proper solution for each case.
Is X working?
Signs that X Server is working: You can see a black screen, and maybe a mouse cursor shaped like an X, but nothing else.
In tty1, you can do:
# ps aux | grep tty7
and see that X.org is running.
If you kill the X.org process, it restarts automatically, with the same results.
Thus, X.org is properly running and is not the culprit.
Check /var/log/
sddm