Loop through all entities with rules
Have a look at this, rather basic, rule (in Rules export format):

{ "rules_check_taxonomy_term" : {
    "LABEL" : "Check Taxonomy Term",
    "PLUGIN" : "reaction rule",
    "OWNER" : "rules",
    "REQUIRES" : [ "rules" ],
    "ON" : { "node_insert" : [], "node_update" : [] },
    "IF" : [
      { "entity_has_field" : { "entity" : [ "node" ], "field" : "field_issue_type" } },
      { "list_contains" : { "list" : [ "node:field-issue-type" ], "item" : "4" } }
    ],
    "DO" : [
      { "drupal_message" : { "message" : "A node containing the tag [node:field_issue_type] just got created or updated." } }
    ]
  }
}


Here is what this rule does:


Rules Event: After saving new content, After updating existing content
Rules Conditions:


Entity has field "field_issue_type", which is the machine name of the term reference field I want to check for.
List contains item "node:field-issue-type" and with Taxonomy term identifier value "4" (which is the term id of the term I want to check in this Rules Condition).

Rules Action: Show a message on the site (which is "A node containing the tag [node:field_issue_type] just got created or updated." (with [node:field_issue_type] the actual term with term id = 4).


What is crucial in the above rules example in the context of this question, are the 2 Rules Conditions. Especially because of your extra comment "field_issue_type is a multiple value" (only "List contains item" is the Rules Condition that will do the trick ...).

Use the Rules UI to import the above rule in your site. Here are the tweaks you'll need to make it fit your case:


Within the Rules Conditions, adapt the "term id" (= "4") to fit your case.
Replace the Rules Action by what you want to happen as per the "set the next Issue Dates content type to be unpublished" in your question, which should really be a different (followup?) question.


PS: This answer applies to D7.