Final answer:
The Director may refuse to issue a license under a particular trade name if it is already registered, if it is misleading or deceptive, or if it violates any laws or regulations.
Step-by-step explanation:
The Director may refuse to issue a license under a particular trade name in certain circumstances. One such circumstance is if the trade name is already registered to another company, as this could cause confusion among consumers. Another reason for refusal is if the trade name is deemed to be misleading or deceptive, such as falsely claiming affiliation with a well-known brand. Additionally, the Director may refuse a license if the trade name violates any laws or regulations, such as promoting illegal activities or being offensive.