A nailist is someone whose occupation is to cut any type of nail, give artificial nails (or "nail arts") and care nails.
A nailist differs from a personal care and service occupation whose business is limited to artificial nails (or "nail arts"). Speaking roughly, what the woman is dealt with is a nailist.
Someone whose occupation is to cut any type of nail, give artificial nails (or "nail arts") and care nails is generally called a nailist. The place where a nailist works is generally called a nailshop (or "nail shop") or a nailsalon (or "nail salon").