Hey there
@sjm1308 - you're right, anaemia is miserable. But it's not immediately life-threatening and relatively easy (though at times unpleasant) to remedy, so please don't worry!
Our red blood cells are our bodies' messengers - the insulin and sugar thing you already know about, but also they carry oxygen around, which is why they're red: there's a type of iron they need to move oxygen to where it's needed, and when that's deficient (for whatever reason) that's when we get anaemia and all those lovely symptoms. Those symptoms - breathlessness, dizzines etc... - tell our body that something isn't right, which will indeed raise our BG, though buy how much I have no idea and would imagine that varies from person to person, Again, not being T1, I can't say what is and isn't bonkers in your situation.
There is, apparently, a link between anaemia and diabetes, but I've tried to find a link where it's explained in plain language and it's just not that easy. Lots of doctor-speak later and, basically, it comes down to the signal that your body sends to your bone marrow to make a bunch more red blood cells not getting through, and that could partly be because of issues with insulin (though I don't really understand why).
You'll probably be put onto some kind of iron supplement, and that has a relatively long-action to restore your iron levels, so do have a chat about your BG troubles. Given that you could be waging this war for a few months, it's probably worth getting some long-term advice about stabilising your BG, but it's nothing to panic about right now.
Hang in there - 23rd is a long way away, but that time will fly, honest.