How do I get a contact literally stuck to my eye out?

Carefully. If you cannot remove the contact and you cannot get someone else to get it out for you, you may be able to get one of the small suction cups made for this and remove the contact. If that fails, you cannot flush it out or flip it out or "pinch it out" then you may have to seek medical care from your eye care professional or pcp or urgent care center.
Lubricate. Try lubricating with tears and gentle massage with the eyelids closed. If it doesn't work see an eye doc.