As a vegan, I am often told that I should "respect [someone's] decision to eat animals". This can get problematic, because that is the antithesis of veganism as an ideal. I will elaborate, but first, lets look at what the word "respect" really means, because I think that often it is misued in this context. If the person truely understood what veganism was, and had a full understanding of the meaning of respect, then they might get whey the two can not be used together that way.
From Google's Dictionary:
respected, past participle; respected, past tense; respecting, present participle; respects, 3rd person singular present
As you can see, it is likely that when people use "respect" in the context that I first provided that they are using it to mean 2, 3 or 4. But what they are failing to consider is that it also comes with the connotatin of admiration, and that is where it gets problematic with regards to something that vegans obviously consider as wrong. After all, if we didn't think that using animals was wrong, we wouldn't have stopped doing it. Even if someone has a legal right to continue doing something traditional, if it is immoral and you believe that it is immoral, you can never respect it.
A better word for these situations, situations where you simply have to put aside your dislike of the other persons actions or beliefs, would be tolerance.
Google describes "tolerate" as such:
Tolerance may not have the same warm and fuzzy connotations that respect does, but it is at least honest.
I do not respect someone's decision to enslave, assault and kill others. But unfortunately, in this world I still have to tolerate it more often than not.