No she'll be the manager/Head Coach. Jill Ellis (ex USWNT) is instead acting a bit like a Director of Football for them.
It was rumoured immediately after the United exit with Twitter talk that she'd been in discussions with them since Feb time. TBH San Diego is going to be a challenge in NWSL, they're starting the same time as the much more hyped Angel City (they have loads of celebs as owners) and they're in the same state as them as well. That said ACFC still haven't announced anyone except Eni Aluko as their Sporting Director.
A bit of a strange decision to go now when Stoney never went abroad as a player, but money wise it probably makes sense. The fact it she was discussing this move right when the United season fell apart is another bitter pill to swallow. TBH she went down in my estimation a bit with the recent Athletic report that she tried to resign right before the all important Arsenal game. Things were obviously crappy last season at United but there are some things you just don't do as a manager and thats one of them to me. Really took her eyes off the ball to me.