Bugsy, is the Bug-type Gym leader of Azalea Town, as implied by her name. So, clearly, Fire and Flying Types would work best against this Gym.
-Metapod is Level 15, Female, and appears to be very easy to defeat.
-It's Ability is Shed Skin.
-All it knows is Tackle. Not even Harden. So if you can't beat this one, you have a problem.
-Kakuna is Level 15, Female, and also appears to be very easy to defeat.
-It's Ability is Shed Skin, as well.
-All it knows is Poison Sting. Not even Harden. So, same thing with her Metapod; If you can't beat her Kakuna, you have a problem. Although, you MAY want to bring Antidotes.
-Scyther is the powerhouse of Bugsy's Team. It is Level 17, Female, and could be a challenge for you.
-It's Ability is Technician, meaning that its weaker moves are powered-up. It is also holding a Sitrus Berry. So you may want to defeat it with one or two very strong moves.
-It knows Quick Attack, Leer, U-Turn, and Focus Energy.
For defeating Bugsy, you will receive $1800, the Hive Badge, and TM89, U-Turn. You can also use HM01, Cut, outside of battle.