What is the ruling on looking at female characters in realistic PlayStation games, knowing that they do not arouse lust in the viewer, and does Ibn Uthaymeen's fatwa permitting this apply to them?

Looking at drawn images is not the same as real looking in every respect.

The questioner should abandon games that cause him anxiety and occupy himself with what benefits him in his religion and his worldly life, for there is sufficiency in games free from such images.