Oooooh I have some ideas! Some of these are paid/premium (but NOT micro transactions) and some have mild ads. But I share the distaste for data-mining, money grubbing, brain-melting-ad-ridden games, so I'm certain they are on the least intrusive end of the spectrum.

I really love biology (I'm a biologist...) so these are both pet games and usually breeding/evolution games!

• Fish Tycoon -- This one specifically. A classic! Breed and care for cute fish!
• Niche breed and evolve -- so neat and pretty educational about evolution/genetics. There's a slightly more complicated/difficult pc game if she decides she likes the nichelings/universe.
• Pocket Frogs -- Simple, low stress collecting game. it would take years to collect all the frogs, and there's a relatively active community of people who trade sets of frogs to other people to help them complete collections. Would be fun to play with her friends at school!
• Reigns Her Majesty -- a game about running a kingdom as a queen. When you die, you become your heir and retain some progress from your last lives. It doesn't fit the exact criteria you mentioned, but I think she might like it anyway!