Under the malevolent influence of the stars or of one's horoscope(adjective)
Fascinated and/or obsessed by fame or by celebrities(adjective)
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Use "star-struck" in a sentence
"Never one to be star-struck or badger anyone for an autograph, an innate security mode usually took over."
"And GJ was indeed a sweetie – I am so glad I actually managed to find some conversation with him and avoided falling into the same star-struck coma that claimed me when I met Julian Barnes!"
"At the former, reality-TV star Kelly Bensimon was star-struck by veteran actress Jane Fonda."