I wouldn't worry about it. Go to Manchester (a decent university all round), do a subject that interests you that you'd enjoy (avoiding all the strange or esoteric Degree subjects that crop up these days - which Manchester probably doesn't do many of anyway) then take your chance on the job market when you emerge.
A degree demonstrates that you can think, deal with situations and people. Graduate recruiters look for potential employees who can handle that, and do not worry so much what topic the person did. Some of my best management colleagues have Geography degrees.
(I've spent many years on the graduate milk-round as was, in two different organisations, both on the list of 'most popular organisations to get recruited' with undergraduates)