The short interview in question, as well as Cooke’s attempt to partially walk back his statement in which he appears to condemn revealing previously established characters to be gay can be found here, and are worth looking at, especially for David Uzumeri’s respone to Cooke.
Given the backwards-looking nature of much of Cooke’s work, I can’t say I find his objection to a lesbian Batwoman terribly surprising. Disappointing, but not surprising.
While some may be outraged by Cooke’s statement, for myself I’m not sure his statement deserves a response above the level of “heavy sighing.” His statements seem to fall along the same level of disagreement that Alex Ross had with making Obsidian gay. I don’t think either Cooke or Ross are homophobes, I just think they’re a bit too blinded by heterosexual privilege to realize how what they’re saying can sound homophobic.