The phrase "thrust upon" can be substituted with a number of synonyms, all of which convey a similar meaning of being forced or burdened with something. For instance, the word "imposed" can be used to suggest that something has been put onto someone without their consent or desire. Similarly, "inflicted" denotes something that has been forced upon a person, causing harm or distress. "Foisted" and "dumped" are more informal alternatives that imply a sense of unfairness or injustice. Finally, "consigned" and "assigned" suggest that responsibility or obligation has been given to someone, and they have little choice but to accept it.