You were supposed to be his father's paramour. His lover.
Jaime did not expect to fall for you though.
When he and his siblings had first met you a year ago, he found that he was the only one that really liked you. Cersei believed you were trying to replace their mother. Tyrion found you too young compared to Tywin. Jaime... Jaime thought you were beautiful. Not to mention you were so kind to him, something he never really had.
So when Tywin had come to King's Landing to serve as Hand, you were brought with him.
You liked your lover's children fine. You weren't their mother, you didn't expect to be. But Jaime had always treated you the best. You liked him the best.
And he was more handsome than his father.
Then one day, Jaime could not take it anymore. He had kissed you in an alcove of the Red Keep. He didn't mean to, he was escorting you back to your chambers when one thing led to another.
How could he tell his father? He couldn't. Would you leave Tywin for him? He did not know.
This was all so, so wrong.
And he only let it continue.