I have been looking for a way to delete my sythe account. Is it possible for me to delete this account or make a new account and leave this one as inactive?
You cannot delete your Sythe account. You can however make a new account, and cease usage of that account, preferably, you could PM a mod to self-request a ban on that account to be sure, then proceed to make your new account.
What they forgot to mention;
You may have trouble signing up again, as your IP has been used to create this account.
Just find a free proxy or use a local wifi to create a new account and you should be fine.