Welcome to our Forum.  I believe you may have asked a similar question in this Forum in the past as well.  If not, I apologize for my confusion. 

Irrespective, the good news is that herpes viruses, as well as other bacteria and viruses which cause STIs are not transmitted on inanimate objects.  As a rule they tend to be quite fragile and die quickly once exposed to the environment.  Further, with regard to cloth and other fabrics, microorganisms have a tendency to "stick" to fibers and not come off.  While I agree with you that being seen by a clinician with a dirty lab coat is disconcerting and not esthetically pleasing, even if the clinician's coat had brushed up against a site of infection prior to contact with you, it would not be able to transmit infection to you.  Thus the exposure you describe is not a reason for concern from a risk from infection perspective (on the other hand, coming to work with dirty clothes raises other questions, doesn't it.  I would not worry about possible infection however.

I hope you find this comment helpful.  Please feel free to follow-up if this response is not unclear.  EWH

The sort of contact you describe with a pet who licked you after possibly licking a friend's cold sore is not a known means of transmission of HSV or other STIs.  I would not worry about your encounter with your friend's pet (although it does sound like the pet could use a bit more training ).  By and large STIs tend to be hard or even impossible to transmit other than by DIRECT sexual contact.  I urge you to do your best not to worry. 

I hope my concerns have been helpful to you. If such theoretical concerns continue to worry you and perhaps impact your work or enjoyment of interchanges with fringes, I would suggest you discuss these concerns with a counselor to get help developing strategies to moderate your concerns.  The world "out there" is just not as dangerous a place as you worry it is.  I say this sincerely and in an effort to help. 

  EWH