You clearly do not need a 'sick note' from the doctor unless you are out for a week or more. Your manager should know this. Just return to work and explain it to him/her. I wouldn't go down the route of staying off for the extra day just to get the note, this can be seen to others as swinging it a bit, specially as you called your manager already.
Just be honest, there is nothing that they can do.You sometimes can't avoid sickness and returning to work when you feel fit is far better.