"peculiar importance" is a correct and usable phrase in written English.
The phrase is used to note something that is especially noteworthy or significant. For example, "The documents held peculiar importance to the case."
But Venice has its own peculiar importance".
"The very essence of the protection afforded by an absolute privilege is its predictability -- a quality that is of peculiar importance in the case now before the court," the White House contended in its brief.
The slave trade acquired a peculiar importance to Britain's colonial economy in the Americas, and it became an economic necessity for the Caribbean colonies and for the southern parts of the future United States.
In Europe and in the Mediterranean basin, goats and especially dairy goats have a peculiar importance and their production systems have been deeply changed during the last 50 years.
— ALFRED KAZIN 1960 The Function of Criticism: "The most important qualification which I have been able to find, which accounts for the peculiar importance of the criticism of practitioners, is that a critic must have a very highly developed sense of fact.
I am far from denying that this is a distinction of peculiar importance.
Now I am mentioning these dates here because the dates on which Milton wrote and published his poems, the temporal sequence of these publications, have a peculiar and particular importance for the poet.
For instance, particular importance is attached to the identification of peculiar incidental bodily and psychological symptoms.
The peculiar alternating behavior of essentiality of a gene can be regarded as merely a fact of no particular importance other than as an explanation of the longevity of genes that appear nonessential.
Implies the U.S.S.R is doing a better job of treating minority nationalities equally, which he calls, "a fact of peculiar and decisive importance for us Jews".
This docu-book project, "Art of Being Alive" is a collection of stories, interviews and voices exploring the meaning of life, especially dissecting matters of importance peculiar to our millennial generation.
