Maybe you are new to the world of driving. Read the insurance
manual on what to do when there is an accident.
It does not matter whether the other party says OK or not. Get
particulars, take pictures. If no give particulars, ask one more
time to confirm he does not want to give particulars (so that you
can tell the court you ask him one more time). Make report to
Insurance company to cover your backside.
If want to settle out of court, you need to get a written, sign
note to say there will be no action taken. Both parties sign.
Sometimes the amount of compensation is also stated in this
note.
It is obvious you did not do all this, and if the Insurance
company wash hands, you may have to bear the full compensation to
the other party.
The only thing you can do is quickly go and find out from the
Insurance company, what are your options. They may, or may not be
able to help you in some ways.