However, if YOU are baptized, you cannot allow your daughter to be baptized. You would be associating with false religion to allow your daughter to be inducted into Chistendom, the great harlot.
Yes, we know this is how the WT and it's followers view other faiths, but please everyone, let's not forget that the JW faith is False Religion & an Apostate to Christ, proven over and over again.
Show her that there is no evidence in scripture supporting infant baptism. But if she wants to dedicate your child under God's watch, I wouldn't sweat it. Like others have said, your child doesn't know anything about it. If it makes her at ease in the raising of your child, and you understand it really doesn't mean anything that's life changing, then just go with the flow. It's not gonna harm anything. If the WT makes you believe it will harm you in some way, then you need to get out of that understanding.
Baptism, wedding rings, honeymoons, are all linked to pagan origins. Have you any experience with these???? Does the WT tell you God has a problem with you over these said issues?
First thing to try and do is to get your mind out of the grips of the WTS, then you can think a little bit more clearly on the matters like you're facing here.