Have (one's) nose in a book informal
Said when someone reads books all the time
Whenever I come to visit Jenny's house, I notice that she always has her nose in a book.
He is a really bookworm. He always has his nose in a book.
read a book comfortably
The verb "have" should be conjugated according to its tense.
Be embarrassed and ashamed when one has been defeated or failed
After losing that game, she had her tail between her legs.