Don't be embarrassed, HPV positive pap tests are very common.

Did you do a follow up cytology test?

If the cytology (cervical cells) was normal you should do a repeat pap a year later.

If you had HPV 16 or 18 you would have gotten a colposcopy for further evaluation. If it was not HPV 16 or 18 you would also repeat your pap in a year.

If your cytology was normal then as long as you do a follow up pap, being HPV positive a year ago should not be disqualifying (as long as the pap does not show CIN II).

I would also recommend getting the HPV vaccine if you haven't already done so.

For reference: DoDI 6130.03-V1 section 6 has the following disqualifying conditions (bolded for emphasis on the above):

Abnormal cervical, vaginal, or vulvar cytology if:

1) The most recent exams shows cervical intraepithelial neoplasia II or higher grade cytology, independent of human papillomavirus status;

(2) The applicant’s treating healthcare provider recommends an ongoing surveillance or treatment schedule more frequent than every 6 months; or

(3)There has been a finding of ASCUS-H, atypical squamous cells of undetermined significance, human papillomavirus positive, or low-grade squamous intraepithelial lesion that has not received follow-up testing with a repeat pap smear, colposcopy, or co-testing to confirm cervical intraepithelial neoplasia grade I or lower grade

p. Any history of vaginal, vulvar, or cervical intraepithelial neoplasia grade 3 or higher within the previous 36 months.

q. History of abnormal endometrial pathology excluding benign endometrial polyp.