Hi Sandy - Welcome to the Atlassian Community!
First, it's not a good idea to delete issues in Jira. It's better to move them to a status of Abandoned or Discarded or Aborted or something like that. The main reason is that once deleted, it is gone forever - there's no getting it back.
Having said that, to be able to delete and issue, you must have the Delete Issue permission in the Permission Scheme attached to the project.
You must be a registered user to add a comment. If you've already registered, sign in. Otherwise, register and sign in.