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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That's very unusual, so something is clearly wrong. But without observing you in action or, better yet, a large data set showing the rates of girls getting kicked vs guys getting kicked, we can't really draw any conclusions about whether sexism is responsible.