I have work in aesthetic plastic surgery and now manage the clinic and med spa.
When I am interviewing a potential new nurse, I am looking for the whole package. I want someone who has a great rapport with every client, no matter how difficult or demanding -- we do not have a captive audience, so to speak, and if that client considers you a friend right off the bat, they are more likely to come back.
Clinical skills have to be excellent. There are times when a patient needs an IV (for instance, a procedure under conscious sedation) and there is no IV team there to heal you get the IV. I need you to be able to do a focused exam that is quick but thorough, and I need meticulous documentation (we don't have a department to audit your charting).
I want someone who is comfortable selling (and upselling) to clients. If their schedule is light, they are emailing and calling people to fill the exam rooms.
Most of my nurses have been to aesthetic school, and can do facials and skin consultations. I have one who studied photonics and is our expert in laser and light therapies of all kinds (from fraxel to laser hair reduction to IPL). If you do not have something like this that really makes you stand out in this industry, come to me with a plan for how you are going to become the best nurse in town at xyz.
Hope that helps