So here is what we would do if you were my employee:
I would absolutely want you to document this event carefully with your employer
I would offer you confidential HSV IgG antibody testing to obtain a baseline herpes status for you right away – like now. Do NOT do an IgM antibody test at all as they give many false positives.
I would encourage you to observe the site very carefully for any symptoms and if any appear to have a PCR done of the lesion immediately.
Then I would ask that you retest is 12 weeks by IgG antibody test.
All of the above should be done in a timely and rapid way.
Having said all of that, as with HIV, needlesticks through gloves rarely result in infection as the glove picks up most virus that might be present. And as you know, this is not a bloodborne virus except possibly with first infection. My only concern would be if you picked up virus from a lesion. I think that is also very unlikely.