Users cannot delete their own questions and we do not remove questions per user request. If the question does not violate the rules of the site, we won't remove it. Please carefully consider what you post before posting it so as to avoid "post-regret."
You can make the question anonymous by going to the question and checking the "anonymous" box -or- you can disavow the question by going to your questions page and clicking the broken link symbol. This will make it anonymous and you will no longer receive notifications for the question.
You can't delete your questions here, you can only disavow them so they don't show up on your profile, it turns anonymous and you don't get notifications for it anymore. Questions only get deleted by the mods and admins if they break the posting guidelines.
There's no way of deleting a question, unfortunately. However, you can disavow the question. It doesn't get rid of it, but it means that you no longer get notifications from it so you can try to forget that you ever posted it in the first place.