good, talented
professional
chief, lead (AmE), principal, senior
the company's chief fashion designer

young
famous, renowned, well-known
leading, top
one of the country's top fashion designers

dress, fashion, jewellery/jewelry, textile
garden, landscape, urban
interior
They brought in an interior designer to do the house.

graphic
kitchen
furniture, lighting
architectural, industrial, technical
costume, set, theatre/theater
She works as a set designer for the Metropolitan Opera.

game, program, software, system, systems, Web

bring in, hire (esp. AmE)
consult, consult with (AmE)

clothes, fashion
handbag, jeans, shoes, etc.
goods
brand, label, name
store (esp. AmE)
baby (= a baby which has been chosen for its genetic characteristics)
stubble (= a very short beard)
drug, steroid (= drugs which have been made so they are similar to an illegal drug)

Designer is used with these nouns:
boutique, clothes, clothing, dress, drug, fashion, furniture, gear, handbag, jeans, jewellery, label, outfit, shoe, sneaker, suit, sunglasses, watch, wear