'feeling indignant' is a correct and usable phrase in written English.
It is a common way to express a strong sense of anger or frustration about something that is perceived as unfair or unjust. Example: She couldn't help but feel indignant when she saw her colleague taking credit for her idea in the meeting.
I began feeling indignant that, in the reports, the police said they were treating it as an isolated incident.
As the new president takes office this weekend (front page, Jan . 18, many Americans are feeling indignant, some publicly and some privately.
Cinderella State, he thought, feeling indignant.
I've been having discussions with people working in the care sector about the changes, and there's a large element of straightforwardly feeling indignant.
Feeling indignant about someone's mistreatment but doing nothing to help, because "it's none of my business" or "someone else can/should/will handle this situation," is not moral anger.
Resentment is anger toward, or a feeling of indignant displeasure at, some perceived wrong; often arising from emotionally disturbing experiences occurring over and over again, or relived in one's mind.
Last year, psychologist Dacher Keltner of University of California, Berkeley was commissioned by the social media giant to help design a new array of animated emoticons, more like the cartoon icons sometimes described as "emoji", expressing everything from "feeling anxious" to "indignant".
I found myself indignant, feeling that my desire for impermanence had been ignored.
I remember feeling baffled and indignant that they believed Asian faces didn't broadcast prestige the way a white face did.
If you've ever gone on YouTube to watch clips of old matches it's striking how often you're left with the awkward, indignant feeling you might get were you to revisit a 1970s TV show about a grief stricken, crime-solving lardarse who kung-fu chopped his way to justice.
