Go through these in order and stop at the first one that applies. If you are reading this for someone else, answer for them.
Seek urgent or emergency care for a new shoulder deformity, major reinjury, rapidly increasing swelling, or an arm or hand that becomes pale, blue, cool, or pulseless.
Contact the treating clinician sooner if weakness is worsening, numbness is spreading, pain is becoming difficult to control, or therapy causes a clear loss of function.
New symptoms in the hand or several muscle groups may suggest a broader nerve injury.
Routine follow-up is important because a single examination may not show whether the nerve is recovering.
The clinician may track deltoid strength, muscle bulk, sensation, shoulder motion, and the return of small voluntary muscle contractions.
Repeat EMG or nerve conduction studies may be used when the results could change management.
Keep follow-up appointments even if pain improves.
Pain often settles before strength returns, and delayed recognition of persistent nerve dysfunction can limit treatment options.
The article also says
During recovery, protect areas with reduced sensation.
Check the skin for irritation, avoid prolonged pressure, and use care with heating pads or ice because temperature injury may not be felt normally.
Every sign above is quoted from the sofidex article on Axillary nerve dysfunction. If you are not sure, err upward — it is always reasonable to be checked.