A daphne that looks unhappy does not necessarily need another container. Before repotting, inspect moisture, drainage and the plant's recent history.
Look for an obvious reason to disturb the roots: a damaged pot, unsuitable medium or genuine congestion. A passing flowering problem or a few changing leaves does not settle the question.
Plan before lifting
Confirm the daphne's identity and consult suitable guidance for timing and handling. Prepare the next container and medium first so the root ball is not left exposed while you assemble the job.
Keep the new arrangement proportionate to the roots. A large decorative pot can be used around a separate growing container if it allows drainage and inspection; it does not require a large volume of additional wet compost around a small root system.
If you decide not to repot immediately, record the observations and watch the plant. That is different from ignoring the problem. You are gathering the information needed to choose an appropriate intervention rather than treating every change in the canopy as evidence that the pot has become too small.
The RHS daphne guide notes that most daphnes are deep-rooted and are not ideal container subjects, while smaller alpine kinds can suit deep pots. The exact plant matters more than a general instruction to move every daphne into a bigger container.
Related reading: Potted Daphne: Containers, Potting Mix and Repotting.