I know the title may be inflammatory to some, so I'll start by saying I love the destiny community and usually have no issues.
Anytime I raid with a team that's over 50% strangers I always wind up getting kicked. Regardless of my K/d, light, dps or general wipe-causing--blam!-ups I'm always the one kicked.
Am I being paranoid? Or am I being penalized for bing a girl?
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Easiest way to get a group without too many problems is to join a clan. There are a few "no boys allowed" clans out there you can join if you just want to eliminate gender as a possibility for why you are being kicked.