What a shame. Feel for you.
Did you see the accident happen or was the women honest enough to inform you?
Most people would just drive off.
You do have to inform your insurance company and even though it is a no fault accident on your part, it will affect your premium.
They do ask if you have had any accidents or claims in the last 5 years when you take out a policy.
Not sure I would take the chance and lie as it might come back to bite you later when you have a big claim to make and someone notices the previous claim.