much sought after
see sought after.
Examples from the Web for much sought after
Mrs. Heriot was a much-sought-after woman and he knew that she had 61 always shown a distinct preference for his society.A Bachelor Husband|Ruby M. Ayres
A good horseman, a good violin player, a good dancer, he was a much-sought-after young man.Thomas Jefferson|Gilbert Chinard
In a few days only he had reached this much-sought-after condition.Myths and Legends of China|E. T. C. Werner