Is it permissible to create a YouTube channel or use the platform itself, given the presence of images of living beings, music, pictures of women, and other forbidden things, and is it permissible to earn money from the channel?

Televised, video, and digital photography are permissible and do not fall under the ruling of forbidden hand-drawn imagery. Similarly, looking at forbidden pictures of animate beings is permissible. Based on this, it is permissible to create a channel on websites that contain such images, and the responsibility of the channel creator is limited to their own channel. If the channel is free of objectionable content, then there is no harm in creating it and earning a lawful income from it.