How to react to bossy workmate... T_T

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I just recently transferred to a new job, in a prestigious Swiss hotel. And in my first few days in the hotel, I have encountered a lot of different personalities... Some are quite good, some just fine, some blunt and some so excruciatingly annoying.. I have this one workmate, (who's same status with me, contractual) who keeps bossing around and making me do errands. Her shift starts at the 6th hour of my shift, so she should be doing the workload, right? I'm just finishing my shift, yet, there she goes, bossing me around with tasks which is supposedly her responsibility since she just started her shift. I was so tired and she just acted so bluntly. How should I deal with her? She should realize I've been working all day, so it's her turn to do the SOP's, since I've done mine in the morning... Help? I don't want to be frustrated on my first few days...