Spoiling a eight month old??? Don't think so! :)
I, too, am a stay at home mom, my darling son is our first child and I am his only caregiver since I am also isolated from family and live in a new city! So, I can relate!
My son is 7 mos and does the same thing...and sometimes, I have to let him just cry for a few minutes (usually when I am trying to make myself something to eat or go to the restroom!) I am told, too often, that he's spoiled because I carry him and hold him when he cries...and I feel bad when I can't (he's getting REALLY heavy! :) ).
I look at it this way, someday, he won't want to be with me at all!!, so I try to not get upset/frustrated and ignore the "supposed to's" and do what I feel is right and enjoy my time with him.
My advice, if it REALLY bothers YOU, slowly "wean" your baby from you, so to speak. When she cries, wait just a minute before you pick her up, and the next time, wait just a bit longer and so on. That's what I'm trying to do and it seems to be working. :)
Good luck!