I'm guessing that it bothers you to the extent that it does because it has brought a new reality to the front and center. And that is: once our kids get mobile, once they're away from our arms all wrapped up and securely carried and happy to be so, then they face injuries, dangers, and all the things we dread. Some are relatively small (a chipped baby tooth, or a little cut) and some are relatively big (briefly getting lost in a store but found within a few seconds, or breaking a bone that will heal completely without lasting effect) and some are huge (no need to go there - we all know what those can be).
But the truth is, a child who can walk and reach and grasp will inevitably do some damage, either to the lamp on the table or to his or her own little skin and precious face. A child who can make sounds and learn language and speak will progress from those sweet little coos to "NO!!!" and "you're the worst mother in the world and I hate you" when the teen years hit. A child who can think and act independently will have the brilliant idea to craft a clever lie about who stole the cookies ("really, mama, it was kitty!") or to try to break a rule.
That's real life, with a mobile, verbal child. And it's scary. It doesn't end, no matter how old the child is. My boy is grown, and I wish, when he calls me to tell me he's landed at the airport in a different state for a challenging work assignment, that he was still all wrapped up in his little Moses basket, sucking on his fingers, happy to look at Daddy making funny faces at him.
But please try to see this as a blessing. Your child can walk, and she'll grow up. It will give you more joy and more pain to watch this process than you ever imagined possible. The little ouchies and owies and boo-boos, the chipped teeth, the scars, are reminders to us moms that we can't prevent everything. The best you can do is help your child to stay strong, to observe the sensible rules (holding mommy's hand in the parking lot, learning how to look both ways, etc), and to grow up to be a smart, sensitive, caring, kind girl.