I would like to address this concern, as a yoga teacher since the early 1980s and practitioner since 1976, also certified in Pilates and Holistic Wellness and recently retired from 22 years working in mainstream medicine.
While it is true that traditional yoga schools catered to men, and women were not even allowed in the classes in India until Krishnamacharya began teaching women in approximately 1940 (Indra Devi being one of his most famous students), today women far outnumber men in the yoga world.
We have completely taken over the discipline, especially here in the West, and most women gain great benefit from the practice.
Despite some fear-mongering by a few authors, statistically yoga is a very safe activity. Having said that, certain postures may aggravate an existing prolapse (which was originally caused by childbirth, surgery or trauma - not by yoga per se).
While the author linked above makes some good points, I disagree with her about a "relaxed belly" being beneficial to the internal organs, and the posture she recommends is also not good for the lower back, which is supported by strong abdominal (core) muscles.
The "neutral" posture in Pilates - neither "tucked" nor tilted forward - is a healthier alignment. Many women come to me to learn yoga and Pilates in order to remedy lower back pain caused by bad (tilted) posture and weak abdominal muscles, and they benefit from the standard exercises.
However, yoga (as taught by Krishnamacharya) should be adapted to the needs of the individual.
If you have a preexisting anatomical/surgical injury, some postures are better than others. But if the prolapse is bad enough to be aggravated in the manner described in the above link, then yoga is the least of your concerns, as any number of other activities will likewise be problematic.
This article may be helpful:
http://yogaforhealthyaging.blogspot.com/2014/04/organ-prolapse-and-yoga.html
(edited by moderator to break up text for easier reading)