I love Terry! You did a great job with the dynamic movement and AI, it's really impressive! I'm also super glad you added a speed up button because I'm an incredibly impatient person (also because it's fun to watch Terry run around really fast). Also, I like that if Terry goes hungry, she doesn't die, she just gets taken away and you get reprimanded.
I saw that you said you were going to add some more features like playing and stuff, which I think is a really good idea, so I won't mention features you could add.
I noticed a few weird UI things while I played. The Feed and Come Here buttons light up when you mouse over them, but the Refill Water button does not. Additionally, once you press the Feed button it remains lit until you press the Refill Water button.
Other than that, I can't think of any notes! She's a wonderful little spider!