I unfortunately also have had the experience of being pushed towards management, even though I'd say I have only slightly above average social skills. At a former job I was told I could be promoted to a senior software engineer in "3-4 years" (this was 8 years into my career after multiple years of "greatly exceeds expectations" reviews at this company) or I could become a manager. I held off for awhile since I had no real desire to manage, but I could talk to people and organize things so eventually that felt like my only way up. I did it for a year and hated it, then quit to be a technical founder at a startup, which is actually less stressful and way more enjoyable. I guess it worked out for me in the end (though I should have left way sooner), but I know I am not the only woman who had similar experiences at that company which makes me sad.