Queen badge depends on the player level as follows:

• Accounts from Level 12 to 14 receive the bronze Badge.
• Accounts from Level 15 to 17 receive the silver badge.
• Accounts from Level 18 to 20 receive the gold badge.
• Accounts from Level 21 to 23 receive the ruby badge.

Please click the following link for more details about the badges you can earn and their requirements:
https://blog.jawaker.com/jawakerbadges-en/