Im a little confused.... In the card forbidden loyalties who is Batman kissing? I think it is Talia Al Ghul, but Tailia has long brown hair. My friend thinks that it is Sasha Bordeaux, a reasonable guess, because she was involved with Batman before checkmate, romantically even (although it was one sided). But if he is kissing her, what would make it forbidden, seeing how she gives up Batman completely after joining Checkmate. I havent read OMAC project, it might randomly be in there. Can anyone answer my question?

I believe your friend is correct. I can't think of the exact point in time where they first got close, but given the state of Checkmate after Maxwell Lord took over, it makes sense that associating with one of the DCU's biggest supers (even if he's not a powered hero) isn't the best way to show your loyalty to the big boss man.

I think the kiss happened in an Abandoned warehouse before the Omac Robots started to kick Batman's ###.

She is Sasha. Notice Blue Beetles broken goggles in the picture too!