Final answer:
The most appropriate healthcare facility for an older adult with type 1 diabetes who requires help with daily and medical activities is an assisted living facility, as it offers the needed balance of support and independence.
Step-by-step explanation:
An older adult with type 1 diabetes who can perform self-care activities but requires assistance with shopping, meal preparation, blood glucose monitoring, and insulin injections would be best supported in an assisted living facility. This type of facility provides a level of care that includes help with daily living activities and medical assistance, which would be beneficial for the individual's needs. It provides a balance between independence and access to necessary health care services. Acute care facilities are designed for short-term, intensive care, while ambulatory care facilities typically do not offer the ongoing, daily support that this individual requires. Extended care facilities often cater to more intensive nursing needs that may exceed what is necessary for a person capable of self-care.