Alternate Character Interpretation: Officer Rhodes. At the best, wooing a girl by getting her to bake for you makes you a schmuck. At worst, it can be read as pretty douche-y. However he's portrayed as though it is the perfect romantic move to sweep a girl off her feet.
Then again, it might just be him trying to get her to bake, period. He believes it's her calling in life. It's also possibly his way of both attempting to bond with her and trying to shake her out of her self-loathing rut by getting her to do something she loves and enjoys with him, not for him.
Unsympathetic Comedy Protagonist: Even though most of what's happening to Annie isn't her fault, some of her reactions just make her look like a jerk, including her behaviour towards Rhodes.