Ok this is what I think will happen:
UK single release - mid-June/early July (depending on whether it's OA/OS or traditional release)
US single/airplay release - mid-August
Then Alex will be pushing the single up the charts by doing radio tours, minor tv shows etc and if/when the single is starting to properly smash, she'll be on US XF to promote it in October/November.
And around this time (Oct/Nov), the second UK single and the album will be released. The US album will probably be held back to February unless the first single is KILLER.