Why most annexes need planning permission
Permitted development covers buildings that are "incidental" to the house: an office, a gym, a hobby room. A building with a bedroom that someone lives in is not incidental, so it falls outside permitted development and needs a householder planning application to Kirklees Council, even if it is the same size as a garden office.
Kirklees usually looks at three things: that the annexe stays part of the same household (shared access, garden and services, not a separate address), that it does not harm the neighbours, and that it suits the street. A condition tying the annexe to the main house is normal. A decision usually takes about eight weeks from a valid application.
Some firms offer annexes built to the size limits of the Caravan Sites Act, arguing they count as a mobile home in the garden. That route can work, but it rests on how the building is made and moved. Ask Kirklees for a lawful development certificate before relying on it; it costs far less than a refusal or an enforcement case.