The phrase "annoying itch" refers to a feeling on your skin that makes you want to scratch it because it can be bothersome or irritating. Full definition
Not only do fleas cause annoying itching for animals, they can cause significant blood loss, and spread parasites and diseases. (veterinarianelkinspark.com)
Other than odor, skin problems cause bouts of annoying itching and this often involves the dog's ears too. (notinthedoghouse.com)
From annoying itching, severe skin allergies, to potentially more serious issues like tapeworms. (dogdojo.org)