swelled head

(swĕld)
n. Informal
An unduly high opinion of oneself.

noun

An exaggerated belief in one's own importance: egoism, egotism, self-importance. Informal bighead, bigheadedness. See self-love/modesty.

A disease of rams, a form of malignant edema caused by Clostridium septicum or other Clostridia spp. The swelling and emphysema are present only on the head and neck. The disease is thought to occur as a result of fighting. Called also ovine bighead.

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The noun has one meaning:

Meaning #1: an exaggerated opinion of your own importance
  Synonyms: egotism, self-importance

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