IMO you might as well avoid all high impact activities if you can, male or female. The risk of a life changing injury is just too high. Stick to low impact activities like walking, cycling, resistance training etc.
I downvoted because high-impact activities are known to build bone density. I honestly don't know what causes one person to get injured and not another, but I don't think it's the "impact" of running, which is what our bodies were made to do. High- (or medium?-)impact activity may very well be part of the mix of what keeps you strong into your golden years.
Resistance training is known to build bone density too.
Our bodies weren't "made to" run on concrete. Our (male) ancestors hunted by chasing animals on soft ground for a long time, sure. That's a lot lower impact than a lot of sports that injure people.
Anecdata: I've sustained many more injuries from lifting than from any other activities, combined, in my life.
It's still absolutely worth it, but I'm not sure walking and lifting can be classed in the same category of "low impact".
Some advice from an old man: the risk-to-reward ratio of heavy deadlifts is too high, regardless of how perfect your form is. If you absolutely must do them, use the hex bar.
