First time meeting her dad

Me (29M) and my girlfriend (32F) had plans to go and eat at a restaurant with her son. 2 hours before i pick her and her son up at her place, she says I'm gonna meet her dad today because he's mowing her yard. I have major social anxiety issues so i was very nervous of course. I knew I was going to meet him this week along with a lot of her other family because her birthday dinner is this weekend. I was still mentally preparing for that lol. I'm as introverted as it gets. We were waiting on him to get done mowing. He comes in, I'm sitting on the couch with her son and he's showing me a knock off minecraft game on his phone. I look up and he's got this wide eyed look in his eyes. (She later told me he always looks like this) For some reason, I didn't get up right away and shake his hand like I was planning to. (Yikes) I waited a couple of seconds too long and my GF said "Oh he's quiet" and to me that made it worse. But shortly after I got up and shook his hand and told him it was nice to meet him. Then he said "You don't have to be nervous." with that same look in his eye. He was also tatted up which I didn't expect. She told me this morning that he said I looked "way to scared" and she suggested we go out to dinner to break the ice which I guess means he's not coming to the birthday dinner.

Am I cooked?