I like this concept. It's pretty relaxing!
I rate the music too, I can't remember what this song's called (I think I've heard it in a bunch of tutorials?) but it was a good choice.
In terms of future additions, maybe you could have another bird generate every 10 clicks along with a minute long timer? The goal of getting as many birds as possible in a minute would definitely add a layer of tension to the game.
But it's a good start! I look forward to seeing what you may add to this later on.