Baby Nail Cutting

Using a baby Nail cutter, I accidentally cut my Baby's left hand last smallest index finger nail too deep and it cause a minor cut, and baby had say 5 to 10++ drops of minor bleeding. After cleaning the wound with tissue & Applied Aloe Vera Gel, bleeding has stop & Baby seems okay now, just that the wound feels delicate at times. Just wondering if the wound will heal say within 7 to 10 days? Is there anything I need to take note of? Feel heart pain & upset now, just reprimanded by my wife & in law even though I am not deliberate. Also wanted to ask when is a good age to help trim Baby's nails? 1 year old or older? Would trimming it when baby is asleep a better idea?