Athena (Minerva) offered Paris wisdom and skill in battle, which Paris refused because his brother Hector was already one of the best warriors in the world - second only to Achilles. At the time, Troy had few enemies, and none that Hector couldn't rout easily, so he viewed her gift as unnecessary.
It's possible that they would have still gone to war with the Greeks, though probably on their own terms. Maybe even laying siege to Mycenae or Sparta the way the Greeks laid siege to Troy. Though there wouldn't have been a reason to, other than for conquest.
Hera, Athena, and Aphrodite were the 3 goddesses competing for Paris' golden apple and to see who is the fairest of the 3 goddesses. Paris chose Aphrodite and gave her the golden apple.
Paris gave Aphrodite the amazing golden apple.
In the test of the golden apple it was Paris who decided the contest and he was a male aka he not she. Paris, threw the golden apple to Aphrodite because she promised to give him Helena of Troy
Paris judged that the golden apple inscribed "for the fairest" was for Aphrodite.
Paris, the Prince of Troy, gave the Golden Apple to the goddess Aphrodite.
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The Trojan War
Paris
Paris: Prince of Troy
The golden apple was supposed to be given to 'the fairest'. Three goddesses claimed to be the fairest: Hera, Athena and Aphrodite. Zeus told Paris to be the judge. Each of the goddesses tried to bribe Paris. Aphrodite promised him the most beautiful woman on earth, Helen. So Paris gave Aphrodite the apple, and Aphrodite helprd him to abduct Helen, from Sparta to Troy.
In return for awarding Aphrodite (not Venus) the Golden Apple, she made Helen of Troy, the most beautiful woman in the world, fall in love with him.
The other two goddesses in competition for the golden apple were Athene and Hera. Paris, the Trojan prince who had to judge who deserved the golden apple (which was inscribed "to the fairest"), was offered bribes by each of the goddesses. Athene promised him wisdom and strength in war. Hear promised she would make him a great king. Aphrodite promised him Helen, the most beautiful woman in the world. Paris chose Aphrodite's bribe, and gave her the golden apple.