Good question Ella. I got here because of the TS alerts around STIs not being covered by Medicare. Go figure.
"A pinch of prevention is worth a pound of cure".
I support you Ella in that. It's your body, your call. If it doubt, chuck 'em out... politely.
I go to a local AMP that does waxing and that's not a problem... no nicks and cuts. But on my first time, they used the standard wax... big problems and my skin reacted badly. I'll try to find out what the better product was. Being chinese, they are a bit coy about sharing information and business knowledge. So in some cases it can be as simple as that... blemishes from waxing, shaving etc. But for you Ella, better safe than sorry. There's always next week if they are a genuine person and client.