There are several synonyms for the phrase "more besieged." One such synonym is "burdened." This word implies a heavy weight placed upon someone or something, much like a besiegement. Another synonym is "pressured," which suggests that intense external forces are causing discomfort or harm. "Under attack" is another synonym for "more besieged," as it implies a constant onslaught of negative forces. "In a difficult situation" is a more general synonym that encompasses a wider range of scenarios than besiegement. Lastly, "overwhelmed" is a synonym for "more besieged" that suggests a feeling of being completely inundated or submerged by a given situation.