Collocations for insignificant - adj.

appear, be, feel, look, seem
He made her feel insignificant.

become
remain
consider sth, deem sth
an event that was considered insignificant

very
completely, quite, utterly
almost
fairly, rather, relatively
apparently, seemingly
clinically, statistically
These results are statistically insignificant.

Insignificant is used with these nouns:
detail