Well, I'd put Neosporin and a light nonstick dressing on it, and go to work and not say a word. Most of the people I worked with would never have dreamed of asking what caused it. If they do, just say, I burned myself, and change the subject. If you get someone pushy, you may have to say, I'd rather not talk about it. It's none of their business.
Faces have wonderful blood supplies so infection is not really that likely; surely you will know if it happens, from spreading redness, drainage, etc., and Neosporin has 3 antibiotics in it. Neosporin is also good about taking the pain out of wounds. It is possible that Silvadene is better for scar prevention than Neosporin, but you don't seem too concerned about that. Silvadene is a good drug for major burns, but a small second degree burn is not major!
But then, I handle most of my problems without going to doctors, though I do have one, and go once a year. I'm NOT giving advice, just saying what I would do, so you will feel you have some support if you'd rather go this route.