Haley: Giuliani should've been named 'special envoy' to Ukraine

Former U.S. Ambassador to the United Nations Nikki HaleyNimrata (Nikki) HaleyIs a trap being set for Trump in the Senate trial? Haley: Political climate, media hysteria wouldn't allow Confederate flag to come down in SC today Goldman Sachs employees protest event featuring Haley after Confederate flag remarks MORE on Thursday said that she thought the administration could have handled Rudy GiulianiRudy GiulianiNadler: Giuliani trip to Ukraine shows 'crime in progress' is being committed against American democracy Impeachment nears: What would John McCain have done? Graham says he doesn't need to hear impeachment witnesses: 'I am ready to vote' MORE's work with Ukraine better by appointing him as a special envoy to Ukraine.  

“I think it could have been handled better. I mean I think they should have named him the special envoy so that everyone within the administration knew what his role was,” Haley said in a Thursday appearance on CNN. 

Giuliani has emerged as a central figure in the Trump administration’s contacts with Ukraine, the issue at the heart of House impeachment inquiry launched earlier this year. Multiple Trump administration officials have testified about Giuliani’s role in contacting and meeting with Ukrainian officials. 

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Former special envoy Kurt VolkerKurt VolkerPush to investigate Bidens sets up potential for Senate turf war Senate confirms Brouillette to replace Perry as Energy secretary How Democrats' missing witnesses could fill in the Ukraine story MORE introduced Giuliani and a top adviser to Ukrainian President Volodymyr Zelensky, Andrey Yermak, in July, according to a text message Giuliani tweeted. He has confirmed that he met with other top officials in an effort to uncover information about former Vice President Joe BidenJoe BidenBiden, Sanders lead Democratic field: poll Schumer asks McConnell for Mulvaney, Bolton to testify in impeachment trial Nadler: Giuliani trip to Ukraine shows 'crime in progress' is being committed against American democracy MORE and his son Hunter Biden.

In sworn testimony George Kent, deputy assistant secretary at the State Department, said that he believed Giuliani was "looking to dig up political dirt against a potential rival in the next election cycle."

Several GOP lawmakers have also expressed concerns about the “shadow” diplomacy work by Giuliani in Ukraine, including Rep. Ted YohoTheodore (Ted) Scott YohoThe Hill's Morning Report - Sponsored by AdvaMed - An unusual day: Impeachment plus a trade deal GOP's Yoho announces retirement from Congress Haley: Giuliani should've been named 'special envoy' to Ukraine MORE (R-Fla.), Rep. John Curtis (R-Utah) and others.

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David Hale, undersecretary of State for political affairs, testified in a closed-door interview with lawmakers that Giuliani was part of a shadow campaign by Trump to oust Marie Yovanovitch, former U.S. ambassador to Ukraine.

Yovanovitch is scheduled to appear in a public hearing on Friday morning. 

Haley pushed back on whether Trump’s actions rise to the level of impeachment.

“It’s hard for me to impeach a president. It is the highest level of punishment that you can possibly do. When an investigation didn’t happen, and the aid flowed, I just don’t see how that rises to the worst possible crime,” Haley told CNN.