Hi Dannii,
I was diagnosed as Type 1 in January (I'm 24) and have experienced a lot of hypos since diagnosis.
My typical symptoms start with a very weird sensation in my arms and legs, followed by shaking hands which get progressively uncontrollable, then sweating and feeling sick. Once treated I all of my actue symptoms resolve themselves but I am left feeling completely and utterly exhausted. I can't describe it in any other way than to say it's nothing like being 'normally' tired. So I completely understand where you are coming from and it sounds very normal.
However, hopefully, as your nurse has said, your body is still adjusting and you'll find yourself better able to cope and your symptoms will be less severe over time.
When I was first diagnosed I was having all of the typical hypo symptoms when I was below 6! But now I only tend to get them when I actually am below 4 (and like others have said, sometimes I don't get any symptoms until I'm probably too low).
Try not to let it get you down. I know exactly how you feel. The best advice I can give is if you feel unwell or 'strange' in any way, test yourself.
Good luck.