Blood draw contamination worries

My lab tech bonked his elbow while gathering supplies to do my blood draw. I asked if he was ok and he said it just really hurt because it was his elbow. He put a glove on his left hand, then rubbed his left (injured) elbow with his right hand. I could see it was bleeding a very tiny amount as he smeared a very tiny bit of blood up his arm as he was rubbing. After touching his own blood with his right hand he then put the glove on his right hand and proceeded to get the rest of the needles and what not and then drew my blood.

I should have advocated for myself and told him to wash his hands, I could tell he was rushing because I was the last person of the day and just told myself because he was wearing gloves after touching it it’s fine. But should I be freaked out about contamination? I’m trying not to be paranoid. TIA.