Swamiji was not interested in marriage from early age. When asks in interview he says he see Divine Mother in every woman. He says it in Volume 3, Reports in American Newspapers, Hindus at the Fair, Complete works.
"Why should I marry," was his abrupt response to a comment on all he
had renounced in becoming a monk, "when I see in every woman only
the divine Mother? Why do I make all these sacrifices? To emancipate
myself from earthly ties and attachments so that there will be no
re-birth for me. When I die I want to become at once absorbed in the
divine, one with God. I would be a Buddha."
In his early age, Swamiji's father thought to marry him and he even tried to convince Narendranath (Swamiji's pre-monastic name) when his father got a offer of 10,000 Indian rupees as dowry but Swamiji rejected.
Gopal Shrinivas Banhatti, in his book Life And Philosophy Of Swami Vivekananda, says:
His resolve not to marry was the perceptible outcome of his stern idea
of purity. Even before he appeared for the B.A. examination, offers
for marriage poured in. An alluring proposal of a dowry enough to
finance his education in England leading to the I.C.S. examination was
summarily rejected by him. Indeed Vivekananda was to visit England for
another purpose to educate Englishmen.
Swamiji thought his Guru Ramakrishna's strong will to prepare him for his Guru's works was the reason for these failures.
Additional Reference:Did Swami Vivekananda marry? on Swamivivekanandaquotes.org
