She won the admiration of men with her alluring figure.

Literal

She [topic-は] glamorous body [with-で] men [possessive-の] popularity [object-を] gained.

あでやか (艶やか, 'glamorous, alluringly beautiful') is a refined adjective for sensual elegance. 肢体 (したい, 'limbs, body/figure') is a literary word emphasizing the physical form. 人気を得る ('to gain popularity') is straightforward. The sentence has a slightly old-fashioned, novelistic quality — modern Japanese would more likely use スタイル than 肢体.