I went to the doctor, and they said I have a nose and throat inflammation.
I saw a nose and throat specialist, and they told me I have a nasal and throat inflammation.
I got a checkup at an otolaryngologist, and they said I have rhinitis and a throat inflammation.
病院に関して沢山の言い方ありますがまずは言葉で行きましょう。
耳鼻科はOtolaryngologyと言うんでその専門家はotolaryngologistと言います。ただ母国語でも言い難いので「nose and throat specialist」でも大丈夫です。そして、日常的の会話で「doctor」か「specialist」でも大丈夫です。
鼻炎は「rhinitis」と言います。これもちょっと専門語なので「nasal inflammation」か「nose inflammation」と言ってもいい。
これで全部合わせて言うと一番日常的のは
「I went to the doctor, and they said I have a nose and throat inflammation」
言葉ちょっと難しくすると
「I saw a nose and throat specialist, and they told me I have a nasal and throat inflammation」
一番難しいのは
「I got a checkup at an otolaryngologist, and they said I have rhinitis and a throat inflammation」
一応これは母国語の方でも通じない可能性はあります