The phrase "with objections" is often used to express disagreement or disapproval towards something. However, there are various synonyms that can be used in its place that can add depth and nuance to the speaker's tone. Some of these synonyms include "with reservations," "with hesitancy," "with dissent," and "with dissension." "With reservations" implies caution and skepticism, while "with hesitancy" suggests uncertainty and indecisiveness. "With dissent" and "with dissension" both convey a more aggressive opposition to an idea or proposal. Ultimately, choosing the right synonym depends on the tone and context of the communication.