Should I sponsor an organization which aims to get more women into technology?
Solution 1:
Not only does it earn you some fans, but similar to other requests you will get from your employees occasionally, denying the request can affect the efficiency of your current employees. If you choose not to sponsor, any female employees you currently have will get a temporary decrease in efficiency, similar to what you see when you add a new employee.
Solution 2:
You should probably sponsor this, as hiring female employees gets you an achievement (not sure which one). Basically anything like this that is morally right (or no reason for you not to do it) you should agree upon, as it may help you in the long run, and it also gives you more fans.