Interesting and controversial point!
In my own experience, more older people (older lefties, that is) prioritise environmental issues, to me it seems like more of an age thing than a gender thing. It could be said that a lot of younger people are more concerned with just getting by and quality of life issues - though what I also see is a difference in how much they care about nice stuff and brands, which the older people don't so much. (TBH it is seductive and I have to fight it in myself, I do get excited at the sight of nice stuff, have to try and avoid ads and remember to think about shiny new things as a waste of money and resources and potential clutter.)
A recent research paper indicates that green products are seen as more "feminine" and that this might put some men off buying them.
jcr.oxfordjournals.org/content/early/2016/08/02/jcr.ucw044
Anecdotally in terms of personal experience though, I see this as related to the association of women with consumerism - men I've known IRL are more likely to be spartan in their habits, buying very little stuff in the first place and not using the heating much. They're more likely to simply not buy a thing than hunt for the eco-friendly "alternative" version. Online I'm aware of men who are collectors or gadget freaks, but I don't meet so many of these.
I get the impression, again anectodal, that men - men who accept climate change as a serious issue in the first place - are more likely to face up to how bad things might get, whilst younger and middle aged women, perhaps because they are more focused on their kids or future kids and have a lot to do already, assume it will probably be alright with minor changes like a bit of recycling and eventually an electric car.
The world collectively has its head in the sand. That report about the carbon emissions from oil and gas in production should have been headline news around the world, but that's not how things are.
If it was a normal thing to bring your kids up for a less comfortable world, teach them how to grow veg in the garden and whatnot, a lot more people would, but it's not at the front of a lot of people's minds, they are just busy, and assume things will go on quite similarly to today.