Yep, rubbing alcohol on a paper towel, wipe it down good, but wait for the rest of the alcohol to evaporate before turning on. I'd say give it a good 3-5 minutes after wiping it down.
Sorry about not saying in advance. There's SO much knowledge to be had in this, that some things will slip past our minds here and there. It was one of those first things I learned about my light along the way, and I'm grateful I did!
No need for your GF to get upset, but it IS a reason to be cautious! So, we're all glad you're listening!

Personally, since it looks like you got a cool tube light hood reflector, I would unscrew the bulb and make sure I wiped it down g.o.o.d.
But yes, keep that in mind for future. With HPS light bulbs you do not want to touch them. Now, if you had a T5 fixture (vegging light, no HPS) those bulbs can surely be touched. But this is not what you have, so wipe wipe wipe! hah
Good luck, and keep us posted.