Final answer:
The nurse should suggest that the parent allows the 2-year-old child to wash herself under supervision to nurture independence while ensuring safety due to drowning risks.
Step-by-step explanation:
The most appropriate suggestion that a nurse should provide to a parent whose 2-year-old child wants to bathe alone is to allow the child to wash herself with supervision. At this stage of development, toddlers are asserting their independence and showing a desire to take part in self-care activities. However, they require supervision due to safety concerns, particularly around water, where there is a risk of drowning. Allowing a toddler to participate in her bath under the watchful eye of a parent nurtures her growing sense of autonomy and helps resolve the issue of autonomy versus shame and doubt, an important developmental milestone in establishing independence.