disappointed but relieved face

disappointed

— adjective (= foiled, frustrated, thwarted) disappointingly unsuccessful disappointed expectations and thwarted ambitions their foiled attempt to capture Calais many frustrated poets end as pipe-smoking teachers his best efforts were thwarted

but Coordinator

— You use but to join two ideas and show that they are not the same. I would take you there, but I do not have my car. The changes were small but important. "Do you speak French?" "No, but I speak Spanish." It says this not in words but in pictures. — You use but to change the topic. I understand. And I'm sorry. But there is nothing I can do about it now. And that's important, but another thing that has changed is the location.

but Preposition

— except He ate everything but the meat. Any day but tomorrow would be fine. I forgot my bag. I guess there's nothing to do but go back.

but Adverb

— only There is but one sun and one earth to live on.

relieved

— adjective (= alleviated) (of pain or sorrow) made easier to bear — adjective (= jutting, projected, projecting, protruding, sticking) extending out above or beyond a surface or boundary the jutting limb of a tree massive projected buttresses his protruding ribs a pile of boards sticking over the end of his truck

face Noun

— A face is the front part of the head. His face was red with embarrassment. — A look or expression on the face. He made a face at the bitter medicine. — One side of a many-sided shape. A dodecahedron has twelve faces.

face Verb

— If mathx/math faces mathy/math, the front of mathx/math is pointing in the direction of mathy/math. Please face me when I speak to you. The store faces the bank. It's hard to face the fact that his wife is gone. You have to face the bully.