-=-I realize she didn't really need help but just wanted my attention. Between my other obligations and my personal feelings at the moment I just wasn't able to give it to her. I did spend some time with her it just wasn't as long as she wanted.-=-
The word "just" here popped out to me, as if you were dismissing the need for attention. Your attention is YOU. By your attention, you are giving yourself to your daughter, which is what she needs to thrive. I had some old thinking to get rid of in this area, as well - my Mom's generation was taught that it's harmful to pick up a crying child, and "too much attention" is a very bad thing to give your baby (or child). It didn't take me very long after my oldest's birth to realize those beliefs were b.s. - but it took me a longer to implement the new belief in my actions. "Oh! I have to give *of myself*?" Scary, in some ways - but OK!
I've come to realize that my kids need ME, not just in the same room, not just nearby, but by my attention and interaction - my full self.
-=-I specifically designed my business so I could be with my children. I feel like they have benefited from me doing this even though it means I can't always give them the time and attention they want.-=-
It's not want, it's NEED. And, you've stated clearly you're not *with* your children. You're occupying the same space, but YOU - your attention, your energy - are not with them. You spend time each morning and evening and at naptime - but if you are not available when your child needs you (as determined by your child, not you) - you're creating mistrust.
I believe you believe you're doing the best you can, but awareness that you're making these choices is very powerful.