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A drama that lets you fully savor the subtleties of a woman's heart.
Literal
Woman's-heart [genitive-の] subtleties [object-を] to-one's-heart's-content can-enjoy drama [literary-copula-である].
A review or blurb-style sentence. 女心の機微 ('the subtleties of a woman's heart') pairs the poetic compound 女心 (おんなごころ) with 機微 (きび, 'subtleties / delicate nuances'). 存分に ('to one's heart's content / fully') is an adverb emphasizing thoroughness. 楽しめる is the potential form of 楽しむ — 'can enjoy.' The sentence-final である gives it a written, declarative tone typical of media reviews.