Is AUTHOR wrong in the post ? POST : It's a 2 man team. We used to have very defined roles. I am the leader of the team. My job is more general, strategic and creative, while hers is fairly mundane. 

Recently she made some improvements to her output, which increased the time needed to do it. And at one meeting where management commented on her output, resulting in her having to use EVEN more time to do it. So she asked if i could take over a process, which took about 1 hour per week. I was taken by surprise and pity came over me so i agreed. On hindsight i shouldn't have. 

Ever since then, she had been trying to push more and more of her jobscope to me. It would be fine if it was a once off favor but she is basically trying to offload a few regular processes to me. 

I am responsible for the results of the team and if she is tardy, we cannot hit our KPI, i'm the one who has to face the music. 

I just can't stand having to constantly reject her request to offload regular processes to me. When i reject her she tries to argue and finally end off with "k fine i'll do it" when it was her jobscope to begin with.

Should i suck it up and help her to achieve overall results or just her her be to be fair to myself? 