....but let me try!
I'd say MK is a definite! I'd spend two days there since you have hopper. One day in MK/EPCOT and the other MK/either HS or AK. You decide what you and your daughter enjoy more and then pick either the Studios or AK. For me....one day in MK just doesn't work.....there is SO much to do there and it deserves the extra day! 
Because a little Disney is better than no Disney?My question is, why?
True it’s just for a limited amount of time, that is still a pricy trip. Apples orangesBecause a little Disney is better than no Disney?

Be prepared for the crash the day after. You're probably waking up around 3am for your flight. Adrenaline will carry you through the 2 days, but by the time you arrive home it will be closer to 48 hours later. Can you take the next day off of work?
I would not waste time on Disney transport. Rent a car, if possible.
Don't try to do too much. Take it at the same pace as a longer trip and enjoy what you can get done.