Allen has not taken a public position on the military action, and a request for comment from his campaign was not immediately returned Monday.
Several congressional Democrats have come out forcefully against Obama's actions over the past 48 hours, with some labeling the U.S. action unconstitutional and illegal. Rep. Dennis Kucinich (D-Ohio) reportedly even raised the specter of impeachment on a conference call with members of the House Democratic Caucus over the weekend.
Congressional Republicans have been largely supportive of action against Libya, but many, including House Speaker John Boehner (R-Ohio), have criticized the president for not defining the objective of U.S. military action in Libya more clearly.
Aside from marking a break with many in her party on the need for intervention in Libya, Radtke's objections also illustrate a divide on the right between some in the Tea Party movement, who tend to be more skeptical on the use of U.S. military power, and establishment Republicans when it comes to foreign policy.
Noting that she supported both the wars in Iraq and Afghanistan, Radtke added that "Congress did at least pass resolutions for the use of military force in both wars."
"President Obama's decision is reckless and ill advised," she concluded. "Congress must find the courage to reassert its Constitutional prerogative for any use of force involving the American military."