Hi,
Testing for the level of GAD antibodies is a good way of seeing if there is an autoimmune attack. They are the most common antibodies found in adults presenting with T1 or LADA. They aren't infallible, there are other antibodies which are sometimes tested for (they actually discovered a new one only a few years ago.) There are also some people who have no evidence of antibodies yet still have a form of T1 (Type 1b)
C peptide is a marker of the amount of insulin produced. Generally people with T1 will have low levels, people with T2 normal or high levels but someone with LADA who had an early diagnosis can have low normal levels and someone who has had T2 for a long time could also have low levels .
(ie it isn't definitive all the other aspects have to be taken into account)
From what I read some GPs have little knowledge of the 2 tests.
An HbA1c of 91 means you may have had average glucose levels of 14.1 mmol/l during the time before your test. This is far higher than the levels required to diagnose diabetes on an OGTT so to me there wouldn't be any point in having one. Unfortunately you definitely have diabetic levels.
Unless your GP proves to know a lot about diabetes then I think that pushing for a specialist appointment is probably the best thing you can do.
If the doctor hasn't given you a meter and strips I think that would be really important to discuss.
(if you haven't got a meter and he won't prescribe strips then I would get one myself and test as frequently as I could afford, watching for a rise to high levels, checking for ketones if glucose rise above 14mmol/l )
Treatment depends on correct diagnosis which is why it's good that you are questioning which type you have. There are other, albeit rarer, alternatives to LADA ( a form of T1) and T2 . That's why you need a specialist and appropriate tests.