Awesome game, totally nailed the feel of a tamagotchi with its own unique spin. I didn't get far in the browser version. But since you pointed out there might be some trouble, I'm going to download and run the game in the background for a while at the lowest speed. Seems like a nice way to experience it :)
But from what I played on the browser, it's so dope! The concept and the execution, so good!
Unless it's something that appears late game and I haven't seen it yet. Something I think you should consider in an update is mini-games. On the old tamagotchis it had those 3 or something mini-games. They were simple, but it split up cycling through menus and just watching for me back in the day.
I could totally see some simple mini-games using the stats of your hero in some way, with highscores and rewards like special foods or something.
Great stuff overall, can't wait to see an update or a sequel or something!