Kayjaybabe - to answer your question seriously, I would not consider getting a child's ears pierced until they were at least 11 years old. A baby honestly doesn't need their ears pierced - they are utterly beautiful just as they are, with lovely, flawless skin, and it should stay that way for as long as possible, I believe.
There are some very real downsides to a baby having their ears pierced - firstly, I know it's obvious, but it will HURT your baby, and you will have to care for the piercings as they heal - putting on antiseptic and turning the studs/sleepers, and that will hurt too. I had to hold my first baby whilst the doctor tried to take a blood sample from him, and he was screaming in pain and struggling - and let me tell you, it was a horrible experience for both of us. I had to do that to my baby, for the sake of his health, but you don't need to inflict this pain on your baby.
Secondly - as someone has already said, studs/earrings can be hazardous when children are playing - if it gets caught on something, or another child accidentally grabs hold of it, it could tear right through your dd's earlobe. This would be a serious wound that would require stitching up - and that would be horrible for you and especially for your little one - the doctor would have to numb the area with local anaesthetic, and that would be bloody painful for your child, until the numbing took effect - and when it wore off, your child would be very sore until it healed, and would probably have a nasty scar on her earlobe.
To be honest, as I have said, babies are beautiful just as they are, and you can dress them up in lovely outfits if you want to adorn them even more - you really don't need to put jewellry on a tiny baby.
And think of this - if you wait until your dd is older, it will be something that you and she can go and do together - something you can share - you supporting her whilst she has it done, and then helping her to choose her first earrings. It might sound a bit weird to say this of something that involves pain, but it could be a special occasion for the two of you.