The quality or state of being indifferent, or not making a difference; lack of sufficient importance to constitute a difference; absence of weight; insignificance.

Absence of anxiety or interest in respect to what is presented to the mind; unconcernedness; as, entire indifference to all that occurs.

apathy demonstrated by an absence of emotional reactions

the trait of lacking enthusiasm for or interest in things generally

the trait of remaining calm and seeming not to care; a casual lack of concern

Lack of interest. Not all women during this time thought it was proper for women to vote. Nelson is stating her belief that even though some women might refuse to vote, it was not right to deny that privilege to other women who might wish for the opportunity to vote.