I don't think that Sims 3 is appropriate for a 9 year old. But there are some other simulation games that she might enjoy.
At that age, my niece loved playing Zoo Tycoon. (I actually enjoyed it too!) Players build and run a virtual zoo. The 'worst' thing players have to do is clean up poop. Although we did have a bit of drama when her younger brother went behind her back and opened up all of the animal cages!
My nephew really enjoyed Roller Coaster. It's similar to Zoo Tycoon, but players build an amusement park.