Is an employee entitled to use personal leave for a doctor’s appointment?

No, unless the employee is not fit for work. The Fair Work Act states that an employee is only entitled to use personal leave in circumstances where the employee is not fit for work because of a personal illness, or personal injury, affecting the employee or to provide care or support to a member of the employee’s immediate family, or a member of the employee’s household, who requires care or support because of (i) a personal illness, or personal injury, affecting the member; or (ii) an unexpected emergency affecting the member.