There is no option listed for my Apple Music subscription cancelation. how can i cancel?

Manage your Apple Music membership - Apple Support - https://support.apple.com/HT204939 - "Learn how to change from an Individual membership to a Family membership, turn off automatic renewal, or join Apple Music later." Turn off autorenewal and your membership will finish at the end of the current subscription period.

Is auto-renewal already off? Does it say it will renew on a certain date or does it only say the subscription will end then? If you are not seeing an option to cancel then it probably means the automatic renewal has already been turned off and the subscription is simply waiting to expire.

Tunes [Store] Support - Use this form for assistance with account and billing, code redemption, or purchase questions - https://ssl.apple.com/emea/support/itunes/contact.html

Launch iTunes in your computer and log into your account, there you can manage your subscription