There are plenty of synonyms for the phrase "objecting to", but not all of them carry the same weight or meaning. Some alternatives to "objecting to" might include "disagreeing with", "protesting against", "challenging", "opposing", "criticizing", "denouncing", "condemning", "rebuking", or "disavowing". Each of these options carries a slightly different connotation, and it's important to choose the best one for the situation. For example, "rebuking" might be a stronger word than "challenging", while "condemning" might be more appropriate than "disagreeing with" in certain situations. Ultimately, the right synonym for "objecting to" will depend on the context, tone, and emphasis of the statement.