It's very harsh sounding, imo. Not too unusual for the US, I don't think, but it wouldn't easily integrate itself, to use your word.
For a mn, I think it would need something very feminine and soft to balance it.
Dagmar Lily
Dagmar Mathilde
Dagmar Amelia
Dagmar Phoebe
Dagmar Eileen
Dagmar Sophia
Dagmar Ophelia
Dagmar Ivory
Dagmar Evangeline
Dagmar Alice
Dagmar Saffira
Dagmar Evelyn
Dagmar Alanna
Dagmar Rosalie
Dagmar Frances
Dagmar Honora
Dagmar Alessa
Dagmar Genevieve
Dagmar Alodia