Your answer lies in Sections 168 and 312 of the Companies Act 2006 which provide as follows:
168Resolution to remove director
(1)A company may by ordinary resolution at a meeting remove a director before the expiration of his period of office, notwithstanding anything in any agreement between it and him.
(2)Special notice is required of a resolution to remove a director under this section or to appoint somebody instead of a director so removed at the meeting at which he is removed.
312Resolution requiring special notice
(1)Where by any provision of the Companies Acts special notice is required of a resolution, the resolution is not effective unless notice of the intention to move it has been given to the company at least 28 days before the meeting at which it is moved.
(2)The company must, where practicable, give its members notice of any such resolution in the same manner and at the same time as it gives notice of the meeting.
(3)Where that is not practicable, the company must give its members notice at least 14 days before the meeting—
(a)by advertisement in a newspaper having an appropriate circulation, or
(b)in any other manner allowed by the company's articles.
(4)If, after notice of the intention to move such a resolution has been given to the company, a meeting is called for a date 28 days or less after the notice has been given, the notice is deemed to have been properly given, though not given within the time required.
I would suggest that a new 28 days notice is given, see here for the practical procedure:
Hope this helps