OK, let's flip-side this: the DM, already using everything in the book, decides to ADD something to the game that you-as-player don't like or disagree with.
What then?
Okay I had a partial response written for this but it seems it got eaten. TL;DR: The problem with the question is, there are
exceedingly few things that I as a player don't like or disagree with, and the
vast majority of them are things that most people would find objectionable.
By which I mean, things like sexual assault, or blatant racism, or blatant misogyny/misandry, etc. And I'm not talking subtle stuff, I'm talking "every orc is portrayed as a yellowface stereotype" or, for example, the original presentation of Hadozee and the way that that was...really really racist in a painful and unpleasant way. (WotC of course apologized for this and corrected course, but it was, as the pundits like to say these days, an "unforced error".)
So like...I genuinely don't know of
any race published for 5e--even third-party!--that would be something I "don't like or disagree with." Hence, I cannot answer the question; my position is such that I embrace a huge variety of things.
For example, I personally don't care for race-as-class, but I could not care less if someone else is playing a homebrew race-as-class thing, so long as it's reasonably balanced with other options. E.g. someone once asked me if I would accept a player who wanted to play a red dragon, and I said absolutely, so long as that player in turn accepts that
every character has to grow into their power, and thus they'll have to start out weakened in some way: e.g. they're a
young red dragon trying to find an end-run around the age limit thing, or they're a
cursed red dragon trying to weaken the curse holding back their full power, or the red dragon is trying to escape its impending bodily death by becoming "more attached" to a separate body that has to grow in power until it can become their new "true body" etc.
I'm genuinely at a loss for what could possibly be so bad that I wouldn't be able to accept it...but which
wouldn't be inherently objectionable such that most reasonable people would have an issue.