Reached by Alexandra David-Néel in 1924 when it was still "forbidden" -"The First western woman to enter Tibet". Spent 2 months there and "visited the monasteries"
See en.wikipedia.org

Joan Margaret Legge(1885-1939) was a botanist from England, who lost her life on 4 July, 1939 while collecting samples at Valley of flowers, India. (wiki) - she was there on behalf of Kew Gardens

Reached by Lady Hester Stanhope in 1812. She later claimed to have been crowned "Queen of Palmyra" under the Triumphal Arch!
See www.saudiaramcoworld.com

Isabella Bird claimed to be the first European Women to visit Mount Kumgang during her extensive visit in 1894 and is believed to have coined the term 'Diamond Mountain'. She visited the Four Great Temples of Mount Kumgang during a multi-day journey. "The first European woman to visit the Keum-Kang San being regarded as a great sight and from early morning till late at night there was no rest." - published in 'Korea and her Neighbours', a narrative of travel, with an account of the vicissitudes and position of the country Chapter 11 Diamond Mountain Monasteries Pg. 133 - 149
See www.gutenberg.org

The lower N summit was first climbed in 1908 by Annie Smith Peck (Possibly the only mountain worldwide to have first been climbed by a woman?).
See en.wikipedia.org