As you are newly diagnosed - Dec 08, I think? - are these true hypos ie low blood sugar recorded by your meter, OR feeling shaky etc, because your body had got used to running high blood sugar levels, and now "thinks" that it's low, when in fact, it's just returning to normal levels?
Most people do feel a but tired after an episode of hypoglycaemia has been corrected, but also most people feel a bit tired in the face of a lifelong medical condition.
Either way, things will get easier, gradually, but with some set backs as well. It's worth talking to your diabetes specialist nurse or anyone else in your diabetes team who is approachable - they may be able to suggest some local support and / or advise you, looking at the records you keep of food, insulin, activity, blood sugar levels etc.