Being a native New Yorker, and having known many people who were there that day and some who lost their lives, I have a very negative reaction to the date. But that's me.
If one of my daughters asked me the same question, I would respectfully ask them to reconsider the date.
However, this is about you and your family and your special day. If YOU have no negative feelings or connection to the date and neither does your family, then go with it.
My other thought is, if you're asking, you probably don't feel 100% okay with it yourself.