Sentence examples for did not really from inspiring English sources

"did not really" is a correct and usable phrase in written English.
It is typically used to express doubt or uncertainty about something. For example: "I thought I would like the movie, but I did not really enjoy it." In this sentence, the speaker is expressing that they were not completely sure about their enjoyment of the movie. Another example: "She said she would help me, but she did not really follow through." Here, the speaker is expressing doubt about the other person's actions.