There are various synonyms that can be used to express the notion of an unwelcome suggestion. For instance, you might describe it as insensitive, inconsiderate, or inappropriate. Alternatively, you might say that it is unwarranted, ill-advised, ill-timed, or simply misguided. If the suggestion is particularly offensive, you could describe it as offensive, insulting, or rude. Similarly, if the suggestion is seen as intrusive or overbearing, you might describe it as pushy, obnoxious, or overbearing. Regardless of the precise word you choose, all of these synonyms convey the idea that the suggestion is unwanted and unwelcome.