Her artistic output primarily consists of etchings and lithographs that favour strong lines and structured compositions. Kuik had a particular interest in the urban environment of Utrecht, as seen in Gezicht op Utrecht. Her style avoids unnecessary decoration. She focuses on the weight of buildings and the presence of human figures within those spaces. In works like Glas met bloesemtakken, she applies this same structural rigour to still life subjects, continuing the Dutch tradition of the Schilderkonst through a modern, graphic lens.

Modern collectors value Kuik for her ability to capture the architectural character of Dutch cities without resorting to nostalgia. Her prints possess a graphic quality that suits contemporary interiors. The stark contrasts in her etchings provide a sense of stability. These works offer a connection to the mid-twentieth-century Dutch graphic tradition through their bold execution and the artist's unique personal narrative.