If you're oxygen levels are normal, could you still have anemia?!

That's pretty much it... I was in the hospital after a panic attack brought on by an asthma attack. I had normal oxygen levels by the time they let me go home. I thought anemia, since it can cause a lack of oxygen distribution, I wouldn't have normal oxygen levels... Granted, my symptoms have gotten much worse since two months ago (that's when I was at the hospital), but could I still have anemia? I get SEVERE dizzy spells where I fall over, smell this weird metal, everything goes black, my legs go stiff and my upper body shakes uncontrollably- they last about a minute. I'm always pale, I have shortness of breath, I bruise easily, I'm tired all the time but I have problems falling asleep. So yeah. Could I have it? I want some answers for this, I've talked to a pediatrician and they gave me nothing, I don't like living like this. :( I'm going to get a blood test monday, but just so I could rest easy...

Thanks! (: