Del. Code tit. 15, § 4936

Voters shall approach and enter the passage in the order in which they appear for the purpose of voting. If any person offering to vote is challenged by 1 of the challengers or by any 1 of the election officers, such person’s right to vote shall be immediately determined in accordance with this title. If such person’s vote is refused, that person shall be offered the right to vote by provisional ballot. If the person refuses to vote by provisional ballot, that person shall immediately stand aside, give place to the person next in line and leave the polling place.