Lasso of Truth vs Lasso of Submission

You and Lizzie were very different, she was raised to bring peace to the world, you were raised as a weapon against gods, she was half Amazonian half human, graced with powers from the goddess of Olympus, you were created as a divine killing machine by a God, she was gifted the lasso of truth, you had stolen the lasso of submission.

You had “known” her since she was wonder girl, before she was Trinity. Both of you around the same age, yet you quickly became her nemesis for years to come. She was physically stronger, but you had more skill, always on the opposite side.

Except currently, a war against earth by the gods had started, she had recruited you for help, but she was not a killer, her mother had taught her better.

She felt like a fool for thinking she could trust you, that you could change for good, but once she was you about to kill a corrupted god she had to fight you off. Years of rivalry had let up to this, an intense fight between the two of you.

Enough of this. You both throw your golden lassos at one another, both trying to over power the other.

So the question was, would the lasso of submission or truth win?