I am surprised your director said it was not that big of a deal. When I was in Nail Tech school, we were told not to work with anything that looked like a wart without gloves. They can be extremly contaigous!
The main triggering factors are
Contacts with warts- Transmission directly depends upon the susceptibility of patient & mainly moisture promotes the spread.
Weakened body immune mechanism in Auto immune disorders or Immuno-deficiency diseases favours its occurrence and spread.
Malnutrition in children also promotes the occurrence and spread of warts
Chemotherapy treatment also favours the wart formation by weakening the immune system.
You never know if who you are working with is compromized enough to become infected.
With that said, I am not trying to say you should not work until it is gone.(But good for you for not working while it was open) I am just thinking that more precautions should be taken when you do work, especially now that it has broke open for your safety, and the safety of those you are working on.
When I was in school for MT we were taught to use a finger cot or gloves while massaging with a cut, burn or any other skin condition was present.
A few people in class did have to work this way due to cuts, and as a client we felt no difference in a gloved hand or non gloved hand.
I would highly suggest using one of the above until the wart is gone.
I did just do some research about how to remove warts and I found this:
The Homeopathic medicines commonly used in the treatment of warts are Thuja, Anti-crud, Calc carb, Lycopodium, Phosphorus, Dulcamara, Causticum, Nat sulph, Silicea, Sepia, Psorinum, Radium Brom, Ranunculus Bulbosis, Pulsatilla, Sulphur, Natrum Mur, Nitric acid, etc. These medicines should be taken under the advice and diagnosis of a Qualified Homoeopath
I personally have had good luck with the duct tape on plantar warts. Soak the area in warm water (this opens the skin up) file excess skin down, cover with duct tape and leave on for 10 days. by that time you should be able to "pick" out the root. if not, repeat.
Obviously this is not going to be apropriate in your situation.
I hope you have luck with it healing quickly!