Maxima is the Empress of Almerac and is in need of a mate worthy of ruling alongside her. Her skill as a warrior as well as her impressive catalog of powers have made her a challange even for the Man of Steel.
The situation: An Almerac royal star ship containing Empress Maxima in it's throne room has entered the milky way galaxy. The ships sensors have detects a large power coming from Earth's coordinates. Maxima demands to be shown what this power is, and her pilot shown her on the monitor.
The monitor shows Vegeta in an isolated desert, training so he can push his powers to an even higher level.
A delighted Maxima is very impressed with Vegeta's display of power during his training, and prepares to introduce herself to him.
Back on Earth, Vegeta takes decides to move on to an other location to train and powers down to his normal form.
Suddenly he senses a massive power, and turns around to see a woman appear before him.
"I am Maxima, Warrior Empress of Almerac. I seek a mighty warrior to earn his place beside me on the throne in battle" she proclaims. Vegeta replies, "You dare challange the Mighty Prince of all Saiyans, a Saiyan Elite, and the most powerful warrior in the universe? Prepare to tremble before the power of Vegeta".
The setup: Both opponents are at the peak of their powers. DBGT doesn't apply in this fight. Since Vegeta was able to resist Babidi's mind control we will asume for this fight Maxima won't be able to control his mind either. Who will win? Will Vegeta become the Saiyan Emperor of Almerac?