"I'm like, 'Oh, that's so cute,' but that's what tattoo people do ... he's in the process of getting rid of his arm tats and his neck tats, so he's like, 'I don't want to be able to get rid ...

The "Wheel of Fortune" co-host, 68, revealed she got her first tattoo on social media Monday ... after which she gave Santo Pietro a kiss on the forehead. "Gigi, thank you!" ...