The Pain of Wearing into History

Not everyone can handle transmigrating into the past, especially a woman... Zheng Zi was mild-tempered and prone to daydreaming. During a mission, the magnetic field of an unidentified floating object sent her through time. Standing 175 centimeters tall, Zheng Zi transmigrated to Izu, Japan, in 1176. She took the place of a poor girl who had died of illness and cared for her younger siblings, but unexpectedly inherited the identity of the Hojo family's eldest daughter. After that, she met countless famous historical "handsome men." But, but... The following famous figures lived in different eras from this story, but their measurements are enough to illustrate the point: Tokugawa Ieyasu: 156 cm Oda Nobunaga: 166 cm Toyotomi Hideyoshi: 140 cm Ishida Mitsunari: 156 cm Sanada Yukimura: 163 cm Toyotomi Hideyori: 165 cm Takeda Shingen: 162 cm Uesugi Kenshin: 156 cm Date Masamune: 159.4 cm Ikeda Terumasa: 130 cm Yamagata Masakage: 130 cm Tokugawa Tsunayoshi: 124 cm Though this story is entirely fictional and written for laughs, please point out any historical errors so I can correct them.