I sat and watched the "judge's house" episode of The X Factor last night with my wife. Cheryl's category of 'the girls' was imho the strongest category by far. Any one of them could have made it through to the top three. However, two of Cheryl's choices caused a bit of a stink. Cher Lloyd and Katie Waissel. Both fluffed their audition performance. Both got through. Other singers, most notably Gamu Nhengu and Keri Arrindell, didn't make it.
As the results were being announced, some Twitter users went so far as to accuse Cheryl of racism, picking the two white girls over talented black singers. This is crazy. She picked the two singers that would polarise opinion. And it was a great move.
The idea of the show is to make money. A big chunk of that money is made by persuading people to dial a premium rate number to cast their vote. If people are indifferent about a musician they wont be motivated to pick up the phone. If they love someone they will vote for them. If they hate someone they will vote for someone else to try and vote them out (as a side note I think the ability to vote *against* someone would make the program producers a fortune!). People will love or hate Cher and Katie.
Creating a product that some people hate is fine if other people love it. It doesn't even need to be a 50-50 split. The internet is such a big place that if (and it's a big if) you can get enough exposure, the people who love it will put their hands in their pockets and pay you for your product and still make you good coin.
The people who love your products will go further and tell their friends about it. Assuming an even distribution, they will encounter the same percentage of love/hate in their own circle of contacts. But those who will love it are still there and will still buy it.
Even those who who hate it are your friends. They'll spread their opinions and detractions - but the same percentage will apply to them too and their circle of contacts will contain people who love your product!
There is no such thing as bad publicity. The controversy caused by the decisions made by Cheryl has made it a hot topic of debate both on and off line. The big 'if' problem of exposure just took a big knock.
So stop trying to please everyone; you can't be everyone's girlfriend and it's pointless to try. Focus your efforts on reaching more people who share your views instead of trying to appease your detractors. And if a little controversy can do that without causing you any harm then go for it!