Hi there! No, you should definitely see your mouse, the cursor is a butterfly. In case you play on a touchscreen you can use touch instead of mouse. Please let me know if it still doesn't work D:
To walk you push the arrows on sides. All interaction is done by clicking/touching whatever you want to interact with. To defeat an enemy use the opposite color (of the one you see in top right corner), in order like reading from left to right. There's a time limit.
If you lose HP from one set of opposite colors you lose that part of the character's personality and have to catch it (click on it) before it escapes, then talk with it to join you back. You have to talk to it in the same language it understands: red = aggressive, passionate, blue = calm, sad, green = balanced, greedy.
Don't hesitate to ask about anything else and thank you for liking the game! <3