Have you posted elsewhere as I recognise this.
Suggest that you contact the Hastings Direct web team.
Email the following address
As far as I can see, you are stitched up. The claim will stay on your policy, as a fault claim, until Hastings are satisfied no claim will be made by the third party. If you have damage to your car, you may as well claim, as I can't see Hastings removing the fault status of the claim. Fault does not mean that you were at fault, just that a payout has or could be made.
If you are certain the cyclist was at fault, if you have their address, you could write to their parent/guardian advising them of the situation, asking for their Home Insurance details, as you are looking to claim for liability in relation to their child hitting your car. Under the parents/guardians Home Insurance, they should have cover for liability for such accidents as their 13 year old causing damage to a third parties car. If their Home Insurers won't play ball, then you could look to issue a court claim against the 13 year old, jointly with their parent/guardian. It then brings the matter to a swifter conclusion, than waiting, to see if they will make the claim and you paying a higher premium while you are waiting. If you manage to gain acceptance of liability in respect of the 13 year old and receive payment for the claim or excess, then Hastings should change to non fault, if they can make any recovery for any outlay they make, if you claimed from them.