There are two issues of which you need to be aware and they are entirely separate.
Firstly there is the matter of the “totting up” rule. If you commit another offence which attracts penalty points within three years of the date of this recent offence you will be liable to a mandatory six month disqualification. You may be able to argue that “exceptional hardship” will follow if you are banned, but if this is unsuccessful you will be disqualified and your points total will revert to zero when your licence is returned.
Secondly, there is the “new drivers’ regulations”. These say that if you are awarded six or more points within two years of passing your test then your full licence is revoked and you will revert to provisional status, meaning that you must take both parts of your driving test again. For the purposes of this rule any points you gained before passing your test count towards the total. Since you already have eleven points this means that any offence you commit within two years of passing your test will mean you revert to provisional status. Also for these purposes the eleven points do not “expire” after three years as they do for the totting up rule. If you gain any points within two years of passing your test, even if you pass your test in ten years time, your full licence will be revoked.
There is no appeal against the revocation process for new drivers. It is done automatically by the DVLA when they learn of the driver’s conviction from the courts.