Chess rules about king in check

Hi, this is my very 1. post, and I'm interesting in follwing situation:

In chess game, oponent put my king under check, and I, by mistake, didn't remove my king from check, insteed, I touched another piece. What say rules about this situation?

As I remember, in regular tournament game, rules say:

If touched piece can remove oponent's piece which maked check, or check can be covered with that piece, I must play with touched piece.

If nothing of previous isn't possible, I can remove my king from check without penalty.

Please somebody to tell me, am I right, or wrong.

This situation occur many times in my blitz games in 5'.

Are the rules same for both tournament and blitz games?

Thanks in advontage.

Yes, if the touched piece can stop the check it must, but otherwise any other move that accomplishes that can be made.

Thank you. Is there any link where I can read about this situation?

Hello, from my experience and knowledge the punishment for your situation depends on the tournament. If the piece you touch can not block the check then this is an "illegal move". The most common punishment for illegal moves is adding ~2 minutes to the opponents time. If you make 3 illegal moves, you lose the game. But at some more strict tournaments (FIDE) you lose the game with 2 illegal moves. Illegal is considered also to use the clock wrongly or to play with both hands.

https://handbook.fide.com/chapter/E012023

4.3.1 and 4.5 cover touch move requirements.