Thanks for the help. I never thought the nudging was actually anything, but at least I know now the respect she doesn't have for me and how much I need to do to earn it.
Thanks for the clarification on the swatting. As long as it isn't hurting her I'm okay. Call me soft, but I think the word vegetarian speaks for how I feel about hurting animals.
Now, I'm a complete noob when it comes to horses, but I do know that you can't be soft. I have a soft, gentle nature, so this is something I'll need to pay extra attention to. Since I'm amongst people that aren't extremely experienced horse people like you guys, I'm feel like I'm flying blind. If you could, could you please clarify on what lateral work and those exercises actually are? That would be extremely helpful. Maybe even explain how do them, if you can.
There is already very good information on this thread but if you need more clarification, definitely ask.
As for the nudging thing... some people allow it but horses are strong and can easily knock us over. To me it's a lack of respect thing.. not a fun nuzzly thing.