Jane Eyre's cousin wants to marry Jane Eyre, because Jane Eyre is independent and strong, and can be his assistant when she preaches in South Asia. More importantly, Jane Eyre's cousin doesn't love Jane Eyre, so he won't let his feelings affect his missionary work.
Jane Eyre's attitude is of course a little contradictory, but in the end she can't let go of Mr. Rochester, so she refused her cousin's proposal.