egomaniac

miffed--slightly annoyed or upset
Several members of the Republican National Committee are miffed at Newt Gingrich for claiming that they’re a small bunch of egomaniacs who need to be coddled by the party chairman.

An egomaniac is someone who thinks only of themselves and does not care if they harm other people in order to get what they want.

Adam is clever enough, but he's also something of an egomaniac.
To coddle someone means to treat them too kindly or protect them too much.

She coddled her youngest son madly...
to treat someone in a way that is too kind and gentle and that protects them from pain or difficulty
　Don't coddle the child - he's fine!
Gingrich made the assertion on C-SPAN Thursday when asked about a new resolution put forth by some veteran members

assertion --something that you say or write that you strongly believe

entrenched /ɪnˈtrentʃt/ adj
strongly established and not likely to change - often used to show disapproval

That resolution has sparked a fresh round of infighting between Steele loyalists on the committee and entrenched members who backed other candidates for the chairmanship and remain skeptical of his leadership.