We say "touch the cat with gentle hands" til I get sick of hearing myself say it, using our hands over theirs to show what sort of pressure to apply when they pat.
I also make sure there's somewhere the cat can go to escape, ours go under our beds and they have a basket (a nice one that matches our decor

) up on a sturdy cube bookshelf that the toddlers can't reach.
Does it have a name yet fairy?