Is it permissible, Islamically, to be intensely infatuated with a foreign, infidel actor because of his appearance and to display his pictures, knowing that one does not imitate him?

The questioner has committed numerous errors, and she must repent from all of them. This includes her heart's attachment to a disbelieving man, her love for him, and placing his picture on her device, due to the corrupting influence this has on her religion and character. It would have been more befitting for her to despise him for his disbelief and his corruption of values, morals, and beliefs.

She also erred in watching and following the works and films of this man and others, due to the forbidden elements within them, both religiously and morally.

Among the errors is also constantly having his picture before her, which leads to infatuation and attachment to images, and this corrupts her religion and character.

She must promptly repent, immediately cease watching films, remove the disbeliever's picture from her device, regret what has passed, occupy herself with what benefits her in her religion and worldly life, and not waste her life on forbidden frivolity and falsehood.