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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I have a friend on destiny who's a girl and at first due to her old mic she sounded like a young boy (sometimes known as a squeaker) this might be what's happening to you and would explain the getting kicked