Seeking for refund

No, you normally don't get a refund. If you have an annual plan paid on the month, you even get to pay an early termination fee, which is 50% of the remaining due. This is because you promised to keep the subscription at least a year. Check this: https://account.adobe.com/plans to see what plan you have. Click "Manage plan" and cancel to cancel your plan.

If you can't selfcancel or want to negotiate, contact Adobe customer care. Adobe customer care can be contacted by beginning a secure chat session at https://helpx.adobe.com/contact.html?rghtup=autoOpen. Pop-up blockers need to be disabled! If the chat window fails to open, or is non-responsive, use a different device to start the interaction.
Support phone numbers may be found here: https://helpx.adobe.com/contact/phone.html. Please note that phone charges may apply.

(see also here: https://community.adobe.com/t5/creative-cloud-services/how-to-contact-adobe-support/td-p/11875703 or here
https://community.adobe.com/t5/account-payment-plan/how-to-contact-adobe-support/td-p/11843852)

And... the month to month plan (not "annual paid monthly") renews until you cancel it, but can be cancelled any time without a penalty. No refund for unused parts of month.

You may have the ANNUAL plan with monthly payments

SOME programs are available Monthly https://community.adobe.com/t5/Get-Started/Being-charged-for-a-full-year-when-i-m-on-month-to-month/td-p/10248222 - links and pictures

you can get a partial refund if you prepaid for the year (and you have an annual subscription).

plans, https://creative.adobe.com/plans

but it looks like you pay monthly which means you will be billed for 1/2 the remaining months of your subscription, and not refunded anything already paid.  info on how that works and how to cancel are below. 

return, cancel, change subscription, http://helpx.adobe.com/x-productkb/policy-pricing/return-cancel-or-change-order.html

understanding cancellation 

fees, https://helpx.adobe.com/uk/manage-account/using/creative-cloud-subscription-terms.html#cancel

if you want to cancel, and you understand the fee, use the info above to do so.  if have trouble, use a browser that allows popups and cookies and contact adobe support by clicking here, https://helpx.adobe.com/contact.html?rghtup=autoOpen
in the chat field (lower right), type AGENT
be patient, it can take quite a while to reach a human

p.s you can also use phone (but chat is usually quicker), https://helpx.adobe.com/contact/phone.html

p.p.s. you can also use twitter to tweet @AdobeCare

p.p.p.s. if you're contacted by anyone (via email or private message), it's much more likely to be a scammer than an adobe representative. ie, double check for an employee badge if contacted in the forums and look for an adobe.com domain in the email address if you click reply to an email. then check again and be very suspicious. any other method of contacting (or offering to contact you) is almost certainly a scam, https://community.adobe.com/t5/using-the-community-discussions/staying-safe-in-the-adobe-support-community/td-p/12919684/redirect_from_archived_page/true

Move to Account........ forum.