I think it's important for anybody, man or woman, to be physically strong. If you're physically strong your in a better position to be helpful or useful in a physical situation that calls for it, also all that exercise helps keep the rest of your body a bit healthier and fitter.
When I see someone who is very skinny and physically weak not as a result of illness but because they like how it makes them look or they just can't be bothered to work out a little I feel they're putting themselves at a massive disadvantage, like wearing high heels you can't run in, or wearing skinny jeans that you can't even raise your knee above your waist in. You just never know when you will need maximum flexibility and to be at your strongest and it's good to be prepared.
I don't think it's that hard, it helps just to do some general home exercises and buy some weights for using in the house to keep your muscles in good condition and stop them wasting. I don't think anyone needs to do a full workout at the gym if it's not convenient or they lack the time but I do think people need at least some strength exercises just to maintain good condition or improve on weaknesses.
Of course it's anyone's choice if they want to or not, I just feel people are self-inflicting themselves a handicap when they let their muscles atrophy to the point of becoming weak.