I bank with the Co-op and I'm concerned by this. Not enough to leave them, though, based on the limited information given; as others have said, the feminist group in question might be suggesting all human rights be removed from trans people and they all be put in asylums for life, or something equally ludicrous.
Although maybe I should leave anyway, as they've already pissed me off in the last few weeks by closing the branch in my town (population >200,000, but why shouldn't all their customers here travel 20 miles to the nearest city to pay in a sodding cheque?!)