1. Is working out beneficial for women?
The short answer is yes. The long answer is it depends.
999.Celestial makes the correct point of saying "It depends how much you do." Just like with anything in this life, too much of anything is a bad idea. Most hormonal considerations a woman might have are statistically very rare (for example, most women will not produce a lot of testosterone and a lot of women shouldn't lose their periods from working out) and it's unlikely they'll ever do that much to reach that point of concern. It's also almost always going to be nearly impossible for them too 'bulk' up too much (as women normally state concern of looking too masculine).
To piggy back off of 999.Celestial's point some more because she's correct again, cortisol is an interesting hormone. It is
the stress hormone. When our bodies are producing a lot of it, it's probably trying to get us to slow down. Intense cortisol spikes can be reduced quite heavily just by eating enough calories, not working out so hard, not overdoing it, not doing it too late at night, taking breaks, etc. Just don't over stress your body for no reason. It's yourself you'd be stressing out, after all.
2.Is Long distance cardio typically jogging good for you?
When it comes to any type of cardio, it mainly will
only benefit you if you do it
consistently and
safely enough. The cardiovascular benefits will kick in if you do it long term, but won't if you do it once a month. There's acute and then long term benefits/side effects to everything, because our bodies are hard working machines and they do a lot for us. Make sure to hug yourself today for how much your body does for you.
When it comes to cardio, it comes down to preference mainly. They all work very similarly to each other and the benefits/side effects are similar enough that picking between them is not too much meaningful on a scientific level. 20-30 minutes of any cardio exercise most days of the week is kind of the ideal for most people. Anything beyond that your returns becomes more limited for the output you'd be putting out.