Daenerys sits next to 3 phonetic neighbors — Denaris, Danaë, and Tanaris are the closest matches by sound. Most share Daenerys's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"invented Valyrian fantasy name"
"my light"
"bright, shining light"
"desert, wilderness"
"eternal ruler, ever-powerful"
"fate, destiny"
"beautiful"
"free woman"
"beloved, wished-for child"
"aunt"
"renewal, life-giving water (symbolic)"
"resurrection (via Anastasia)"
"fair phantom, white wave"
"grace, God has favored"
"harmony of sounds, consonance"
"hay field"
"bright, visible"
"son of Andrew"
"the American South"
"protector of men"
Similar sound: These names share phonetic patterns with Daenerys — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Fictional origins, giving them the same cultural heritage as Daenerys.
Rhythm: Daenerys is a 4-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.