Not to worry too much. There are a lot of apps that your daughter would be able to play. My son asks for my iPhone every single day and he just loves playing with it. Kids nowadays get a hang of electronics faster than my grandpa and grandma.
He's constantly on youtube, watching Thomas and Friends. Just add a few videos that you've scanned thru and ensured that it suitable for her to the favorites page. She'll know what to do next.
Some apps that i installed on my iPhone that my son loves to play with. DizzyBee, Flick Fishing, Chimps Ahoy, Cowabunga, Cro-Mag Rally, iBowl, iGolf, Space Monkey, Cannon Challenge and Scribble.
It's amazing watching them use the iPhone. Can unlock it by themselves, flick thru the different pages and select the apps all on their own.
Btw, my sons turning 3 in a few months time so i guess that should put them in about the same age group. Hope this help!!
p/s : watch out for your home screen. They do tend to mess up your applications layout!!