You're thinking of the wrong sense of objective. An objective morality, according to this article, is a morality that doesn't depend on the subject's mind. It depends on something else. I.e., if we were trying to determine what should_byrnema is, we wouldn't look at you're preferences, instead we would look somewhere else. So for example:
A nonrelativist objectivist would say that we would look at the one true universially compelling morality that's written into the fabric of reality (or something like that). So should_byrnema is just should, period.
A relativist objectivist might say (this is just one example - cultural relativism), that we would look for should_byrnema in the culture that you are currently embedded in. So should_byrnema is should_culture.
I'm not sure that subjective nonrelativism is a possibility though.
I think "subjective" means based on opinion (a mind's assessment).
If Megan-is-moral if she thinks she's moral, then the morality of Megan is subjective and depends on her mind. If Megan is moral if I think she's moral, then it's subjective and depends on my mind.
I think that whether an agent is moral or not is a fact, and doesn't depend upon the opinion/assessment of any mind. But we would still look at the agent's preferences to determine the fact. I thought this was already described by the word 'relative'.
Less Wrong is extremely intimidating to newcomers and as pointed out by Academian something that would help is a document in FAQ form intended for newcomers. Later we can decide how to best deliver that document to new Less Wrongers, but for now we can edit the existing (narrow) FAQ to make the site less scary and the standards more evident.
Go ahead and make bold edits to the FAQ wiki page or use this post to discuss possible FAQs and answers in agonizing detail.