If the PCN you posted is a Notice to Driver, posted on the car, then wait for a Notice to Hirer in the post in due course.
Your hire car company will receive a Notice to Keeper, to which they should respond by providing your details. They may mess this up, or they may charge for this.
When or if you receive a Notice to Hirer in your own name, you can respond. It is highly likely that it will not comply with the legislation required to transfer liability, because it is likely it will not be accompanied by the documents required to do so.
(a)a statement signed by or on behalf of the vehicle-hire firm to the effect that at the material time the vehicle was hired to a named person under a hire agreement;
(b)a copy of the hire agreement; and
(c)a copy of a statement of liability signed by the hirer under that hire agreement.
See
An Act to provide for the destruction, retention, use and other regulation of certain evidential material; to impose consent and other requirements in relation to certain processing of biometric in...
In the likely absence of such documentation, and if the driver is not identified, you as the hirer can not be held liable for the actions of the unknown driver.