No, that is not bigotry. I figured we were just talking about preferences people have within their pool of desirable genders of people.
Pretty much anything is okay for you to select for. As long as you realize the cause of most preferences aren't natural but are taught. If you search through certain dating apps you will commonly see a saying like "no blacks, no fats, no femmes"; this isn't a naturally occuring preference, it occurs because (in this example) we are taught that dark skin is undesirable, overweight people aren't desirable, and femininity is bad. It's okay to have such a preference, but the 'bigotry' arises when someone announces they don't like a certain group of people - because this normalizes prejudice. Just judge someones date-ability to you seperately and respectfully okay? Fat people are more than just fat. :)
Edit: I mean..women that were normal weight in the 1900s were considered the most desirable...now it's underweight/thin women...that's not natural or evolution...that change is caused by a problematic standard of beauty.
Is that the case, though? There are people with all sorts of preferences. Some people are more attracted to Asians, for example. Maybe there is some cultural factor specifically regarding black people, but I think it's also the case that different people just have different preferences. Even if we eliminated such a bias, I think there would still be people who are not attracted to blacks or not attracted to any other easily visible aspect a person might have.
Dating sites are an entirely different question. Part of what you're trying to do on a dating website is narrow down your choices; there are a LOT of people on those sites. So people set some basic filters, if you will, to narrow things down. Now, it's probably not fair to completely discount people because of some of these factors, but there need to be some basic filters on sites like those, and it's a lot more obvious what race or body type someone has than it is to know whether they're interesting or intelligent or charming or whatever.
I think when it comes to personal preferences, people should be able to choose based on whatever criteria they want. That said, I think they're doing themselves a disservice if they aren't willing to go at least a bit out of their comfort zone. Sexual attraction is important in love, but it's not all-consuming. There are other important things, too.
When does it become bigotry? When you fail to look at people as individuals. It's one thing to say that you aren't attracted to [whatever]. It's another to not give [whatever] even a glance because you believe you aren't attracted to it. There is one exception to this, however - genitalia. Because of the sexual nature of genitals, if you are attracted to one set but not the other, it is pretty natural and normal to reject dating that person based on that. That's where sexual orientation comes from. PervertedPikachu's statement about "not being attracted to men because I'm not gay" is a false analogy because of the fact that, unlike most traits, attraction to genitalia is almost always defined by your sexual orientation, which is usually pretty well defined.
As I've said, I think it's fine for people to choose their partners on whatever criteria they like. I don't think we're obligated to give people a chance romantically, it's one of those things I think we can decline to someone for any reason whatsoever. Granted, it's stupid, and anyone who does it is discounting people based on things that probably aren't as important as they think. But if they want to do that, I think it's their right to do so.
Now, you mention that sexual orientation is an exception to your argument (that people need to consider more than just individual features that they may or may not like, they need to consider the whole person). Your rationale for this exception is that it is normal and natural for people to select their mates based on "sexual definition," if you will. Additionally, selecting based on sexual definition is more tolerable than selection on other features because it is based on sexual orientation, a well-defined (and presumably normal and natural) concept.
I find this exception questionable. Is a distinction made on a factor that is normal and natural better than a distinction made on a factor that is not? That suggests that there is inherent value in being "normal and natural." Is that the case? What about factors that are well-understood? Are they more valuable simply because we understand them?
It may be that narrowing down our partners based on our preference for a particular sex or a particular gender, a preference that is normal, natural, and well-defined, is something that society tolerates more than narrowing down our partners based on other preferences that don't meet those criteria. But do any of those criteria make sexual definition a more "worthy" filter in our romantic pursuits?