Is it permissible for me to hug my friend who has transitioned from female to male (changed her name and started hormones, but has not undergone surgery), knowing that she is neither Arab nor Muslim?

Scholars have differed on the ruling of embracing between people of the same gender. Some have absolutely disliked it, while others have permitted it if it is out of respect for religion. Still others have disliked it except for someone returning from a journey or a long absence. This is all provided there is no suspicion or fear of temptation; otherwise, embracing would be forbidden. In the described scenario, suspicion is clear and temptation is expected, and it is obligatory to avoid this girl and not embrace her, whether she is a Muslim or a non-Muslim.