There are several synonyms for the word "wild-eyed", which refers to a person's intense or irrational appearance. Some of these include frenzied, agitated, manic, hysterical, panicked, and unhinged. Others may describe someone as crazed, deranged, or uncontrolled. The term can also be used to describe someone who is feverishly overexcited or possesses a frenzied look in their eyes. It's important to note that the connotations attached to this phrase are generally negative. Therefore, it's best to use with caution and keep in mind how it could be interpreted by those who are hearing or reading it.