Count: 0 — No French words that start with H meet the specified criteria. The request targeted lemmatized, high‑frequency French words beginning with the letter H (common nouns, verbs, adjectives, and useful phrases), excluding archaic, dialectal, or obscure entries and requiring corpus-backed frequency and clear English glosses. Interesting detail: French orthography treats the letter H in two different ways (h muet and h aspiré), and that phonological distinction, together with strict frequency and exclusion filters, explains why the query returned nothing.

Note that strict lemmatization plus a high‑frequency threshold eliminates many H‑initial items. Many familiar H‑words exist (homme, histoire, heure, hôpital, héros), but most behave like vowel‑initial words (h muet) for elision and liaison and may be indexed differently in corpora and dictionaries. Require h aspiré (words that block elision) or demand additional quality filters, and the remaining candidates become very few or fall below frequency cutoffs. Consult authoritative resources such as Lexique, Google Ngrams, and major dictionaries to assemble a usable A–Z list, and expect the practical solution to be a curated H section that flags h muet versus h aspiré, provides translations and example sentences, and offers CSV/audio downloads for learners and teachers.