Collocations for intimacy - noun

genuine, real, true
close, deep, great
emotional, physical, sexual

be capable of
She isn't capable of real intimacy.

achieve, experience
the artist's ability to achieve intimacy with his subjects

enjoy (formal)
He enjoys an intimacy with the president.

create, foster, promote
develop
Gradually, a deep emotional intimacy developed between them.

develop

intimacy between
the intimacy created between student and teacher

intimacy with
A writer must develop an intimacy with the subject at hand.

fear of intimacy
He was prevented from declaring his love by his fear of intimacy.

a feeling of intimacy, a sense of intimacy
The room had a peaceful sense of intimacy about it.