diff --git a/app/queries/hearing_request_distribution_query.rb b/app/queries/hearing_request_distribution_query.rb
index c03c7aa6890..646836cf5f6 100644
--- a/app/queries/hearing_request_distribution_query.rb
+++ b/app/queries/hearing_request_distribution_query.rb
@@ -53,6 +53,7 @@ def not_genpop_appeals
     ama_non_aod_hearing_query.or(ama_aod_hearing_query).uniq
   end
 
+  # rubocop:disable Metrics/AbcSize, Metrics/MethodLength
   def only_genpop_appeals
     ama_non_aod_hearing_query = generate_ama_only_genpop_non_aod_hearing_query(base_relation)
     ama_aod_hearing_query = generate_ama_only_genpop_aod_hearing_query(base_relation)
@@ -79,9 +80,16 @@ def only_genpop_appeals
     # the base result is doing an inner join with hearings so it isn't retrieving any appeals that have no hearings
     # yet, so we add with_no_hearings to retrieve those appeals
     no_hearings_or_no_held_hearings = with_no_hearings.or(with_no_held_hearings)
+    no_hearings_or_only_no_held_hearings = []
+    no_hearings_or_no_held_hearings.each do |appeal|
+      if appeal.hearings.blank? || appeal.hearings.pluck(:disposition).exclude?("held")
+        no_hearings_or_only_no_held_hearings << appeal
+      end
+    end
 
-    [*result, *no_hearings_or_no_held_hearings].uniq
+    [*result, *no_hearings_or_only_no_held_hearings].uniq
   end
+  # rubocop:enable Metrics/AbcSize, Metrics/MethodLength
 
   def generate_ama_not_genpop_non_aod_hearing_query(base_relation)
     query =
diff --git a/spec/models/dockets/hearing_request_docket_spec.rb b/spec/models/dockets/hearing_request_docket_spec.rb
index 3650e461b4d..2fce445d47d 100644
--- a/spec/models/dockets/hearing_request_docket_spec.rb
+++ b/spec/models/dockets/hearing_request_docket_spec.rb
@@ -308,6 +308,38 @@
     end
   end
 
+  context "no_held_hearings" do
+    before { FeatureToggle.enable!(:acd_exclude_from_affinity) }
+
+    let!(:judge_1) { create(:user, :judge, :with_vacols_judge_record) }
+    let!(:judge_2) { create(:user, :judge, :with_vacols_judge_record) }
+
+    let!(:appeal_1_hearing) do
+      create(:appeal,
+             :hearing_docket,
+             :with_post_intake_tasks,
+             :held_hearing_and_ready_to_distribute,
+             tied_judge: judge_1)
+    end
+
+    let!(:appeal_2_hearing) do
+      create(:appeal,
+             :hearing_docket,
+             :with_post_intake_tasks,
+             :held_hearing_and_ready_to_distribute,
+             tied_judge: judge_1)
+    end
+
+    let!(:hearing) { create(:hearing, :postponed, appeal: appeal_2_hearing) }
+
+    it "appeals with a held hearing aren't distributed to genpop" do
+      one_result = HearingRequestDocket.new.age_of_n_oldest_nonpriority_appeals_available_to_judge(judge_1, 3)
+      expect(one_result.count).to eq(2)
+      two_result = HearingRequestDocket.new.age_of_n_oldest_nonpriority_appeals_available_to_judge(judge_2, 3)
+      expect(two_result.count).to eq(0)
+    end
+  end
+
   context "limit appeals class methods" do
     let(:appeal_1_week_old) { create_ready_aod_appeal(created_date: 1.week.ago) }
     let(:appeal_4_weeks_old) { create_ready_aod_appeal(created_date: 4.weeks.ago) }