WASHINGTON — He was having Nuzzi it.

Health and Human Services Secretary Robert F. Kennedy gave The Post a steely glare and shunned questions about his alleged affair with scandal-scarred reporter Olivia Nuzzi .

“Ryan Lizza published a memo that he claims Olivia Nuzzi wrote for you. Is that legit?” The Post hastily asked him while the political scion was exiting a press conference at Ronald Reagan National Airport Monday.

Kennedy, 71, who once allegedly lamented his “lust demons” in a sex diary , didn’t say a peep in response and maintained his silence when pressed several times about the alleged affair.

Another reporter asked the HHS secretary about vaccines, but the Kennedy scion ignored those questions as well. Eventually, security edged reporters away, and Kennedy got into his

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