There are so many reasons why women should make weight training a regular part of their fitness routine and there are a few articles here which I think you should read if you get a moment.
Resistance training is more effective for fat loss than cardio alone, because it burns more calories and you continue to burn them after you finish your workout too, the more muscles we have the more calories we burn without even trying. As we age we know that we lose bone and muscle mass, so resistance training helps so much as we try and build that muscle back especially for menopausal women who lose bone mass due to the lack of oestrogen and therefore lifting weights will reduce the risk of developing osteoporosis, and this includes High Intensity Interval & Strength Training.
Have a read of these:
https://www.huffingtonpost.co.uk/entry/cardio-to-weight-lifting_n_593b2cdce4b0c5a35c9fad80
https://megsmenopause.com/2019/04/24/five-reasons-to-start-strength-training-during-menopause/