I think I've inferred an answer by relating the cat to the example of Prophet's grandchildren who played on him and got on his back when he was praying.
I should let him do what he wants without myself reacting much and especially not verbally but physical touching should be okay to move him.
I should keep praying as I have made niyat already and allow him ...
The Prophet (peace and blessings of Allaah be upon him) said: “He interrupts the prayer of the woman, the donkey and the dog * as a examples
so if a cat touch you while praying then there is no invalidating if happened