In these small modern cars, and well many trucks now, they take a heater core and build the vehicle around it. If she isn't partial to the car, join the two hoses together at the fire wall and sell it
I am not familiar with that specific year, my girlfriend had one several years ago which was a 2005, the dash needed to be removed, to do that required the steering column being dropped, tucked way inside behind the dash was a HVAC box, sealed within that was the $80 heater core. The box needed to be spilt, then resealed, most shops will only replaced the HVAC box complete and charge 4 times as much for the parts.
Labour time on your own, 4-5 hours to do it properly. I cannot imagine they made it any easier to do on a 2010. A shop will likely quote you $1500.