I don't care for Obama, but he wasn't the one that started the drone strikes, though he did continue and increase them for his entire presidency (ten times more than Bush). He was the one who made reporting drone strikes public which was quickly reversed by Trump.

In typical fashion Trump was like "hold my beer" and did significantly more drone strikes in four years than Obama did in eight and then obscured the reporting of them.

https://truthout.org/articles/trump-has-pushed-ahead-with-drone-strikes-putting-us-citizens-in-the-crosshairs/

https://en.wikipedia.org/wiki/American_drone_strikes_in_Pakistan

https://www.thebureauinvestigates.com/stories/2017-01-17/obamas-covert-drone-war-in-numbers-ten-times-more-strikes-than-bush