let's preface this by saying----- I have 6 kids. #1 is adopted. So #2 was my first homegrown.

I've also had two miscariages
so I have pretty much experienced everything with regard to birthin' babies

after my #2 was born, I couldn't get over how incredibly difficult it was to walk--- I'd stand up and nearly collapse from exhaustion and dizziness. It was mind blowing. That did clear up after a couple of days.
I mean I was still tired as all get out and holy CRAP I could hardly sit for the huge, HUGE hemmies and stitches I had.... BUT that dizzy and near inablity to walk was gone.
so...... what happens after baby is a body going, "HOLY CRAP what the heck just happened to me?" Let's face it, this not a uterus only endeavor having a baby. Our whole body, our hormones, our fight/flight, our nerves, our minds have had an incredible life changing event occur. Of course, we are going to feel it. It can take weeks/months to recover.... Now in your case (as opposed to mine) is that this dizziness and exhaustion, ticked off the "uh oh" in your ha thinking. and now you are likely
thinking yourself into the dizziness stuff. Like a self-fulfilling prophecy....
I say this presuming that, while you are certainly still bleeding, you are not FLOODING pad after pad after pad.... You will likely bleed 4-6wks---sometimes it will be light, sometimes it will be heavy. AND heavy can happen with light housework or bending over and picking stuff up off the floor....
pumpkin---- you are going to have to giver yourself and your body time to recover----remember---weeks. and if you have a LOUD little one, you can expect to be tired, a lot or most of the time. AS far as normal, honey, start looking for a new normal. after you have kid/s, you aren't ever going to be exactly as you were before. that isn't a bad thing, it is just part of life. Having babies is life changing each and every time..... AND it can't be that bad, right? I have 6 kids.
while I'm sure a lot of mommas will pipe in, but if you have any questions you can PM me.
congrats on that little peanut. I am sure she is beautiful and perfect, absolutely perfect