A Georgian Conservatory has a multi-pitched roof with a ridge running back to the house wall. If there is little height available against the house, the roof can be 'hipped back' (i.e. slope back down to a concealed gutter against the house wall).
This style of conservatory will maximise the use of your available space. Its clean, angular appearance, combined with either its sloping front or its pyramid style roof, means that it will suit almost any property.