A home screen widget survey asks users whether they put your app's widget on their phone and what would make it worth the space. This template takes about 30 seconds: a yes or no on adding it, a multiple choice on what it should show, and how often they look at it.
It is written for a week after the widget ships, when users have had time to find it. Email suits it well, since the question is about the phone itself: send it to a list of active users and the yes or no sits inside the message. Inside your phone app, have the app open the survey's link from the release notes or the widget settings, and on your web app or mobile site a popup reaches the same users.
Results shows the share who added the widget, bars for each thing it should show with every typed Other answer listed, and a donut of how often users look at it, each against the period before. Choose Yes to see what users who added it want next. Usertick reads every typed answer and files it under a theme from your list.