Final answer:
The nurse should remove gloves first, as they are typically the most contaminated PPE. The usual sequence of PPE removal includes gloves, gown, protective eyewear, and finally, the mask.
Step-by-step explanation:
The nurse should remove their gloves first after completing a wound dressing change for a client in airborne transmission-based precautions. According to guidelines for the removal of Personal Protective Equipment (PPE), gloves are considered the most contaminated, and their removal should avoid contact with the skin. Following the removal of gloves, the sequence would typically be to remove the gown, followed by the protective eyewear, and finally the mask, taking care to touch only the ties or elastic and not the front of the mask or protective eyewear.