A Big Apple hospital administrator accused of viciously beating and strangling his estranged wife spent two months on the loose without bail — before a Manhattan judge finally ordered him locked up Thursday.

Yale-educated Tyler Phelan, an admitting clinician at Columbia University Irving Medical Center, allegedly smashed his wife’s head into a stovetop, grabbed her hair and slammed her head on the floor before trying to strangle her in their Manhattan apartment.

Prosecutors sought bail at Phelan’s criminal arraignment in July, but lenient Manhattan Criminal Court Judge Michelle Weber ordered supervised release — leaving the alleged victim and her friends in shock, one pal told The Post. 4

“She’s still dealing with the physical and emotional aftermath of the assault, and she fee

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