Why are you getting so upset? This thread is about everyone's OPINIONS - it's not really like any of this really matters. This is just what people think, so if what they think is different or wrong to you that's fine. To be honest, I don't really care about what people consider to be truly "yuri" or not, but I'm following the discussion because it's pretty amusing to a point.
What did you get upset enough to all caps OPINIONS? oO
To be honest, it's not that I'm upset at anything. In truth, I really do find this discussion interesting - I didn't mean to sound disparaging with my previous post, and looking back at it it kinda was so sorry about that. Yuri truly is Serious Business.
As for my two cents, I think of yuri as a genre describing women being romantically or sexually involved with other women. If the work features bisexual women but the primary focus is between female/female relations, I think I'd consider that yuri as well. I don't think one would consider a work that includes a female/female relation but isn't the main focus of the story to be yuri, but your mileage may vary.
As to whether non-Japanese works can be yuri, in my opinion that's highly subjective to each person, similarly to whether someone someone would consider an anime-styled cartoon to really be anime or not, but probably in a less broad fashion. For example, you would definitely not consider Adventure Time to be an anime, but you could consider the Marceline/Bubblegum to be yuri - it just depends on how restrictive one's definition of yuri is.
I'm not really sure if the Japanese have an "official" definition to what yuri is, though. All of the above is just what I consider yuri, and is probably different from what others think. Hopefully this all makes sense!