S, in your expert opinion, is there any use in testing for HIV for this occurrence?
Most experts feel that one oral sex encounter doesn't warrant testing, even if it was to completion, because it's less risky than vaginal or anal sex.
In most developed countries, syphilis is uncommon, and it's not something I would worry about. It's possible, but unlikely.
It's also possible to get gonorrhea, chlamydia (far less likely), and something called NGU (any infection in the urethra not caused by gonorrhea). NGU can be caused by normal mouth bacteria, strep (think strep throat), viruses that cause upper respiratory viruses.
Again though, these aren't nearly as likely as getting something from vaginal or anal sex, and given that it only lasted a minute, I wouldn't worry about it. If you must, you can test for everything but syphilis in about 5 days. You can test for syphilis at 6 weeks, but you'd have a sore appear between 10-90 days, with the average being 3 weeks.
Try not to worry, and remember that guilt doesn't equal risk.