The Goddess Lilith is currently, here in the 1990sCE, associated with strong, independent women. This may be why contemporary feminism has appropreated Her as a symbol for feminism--- even though there are excellent, real-life women who were and are fine examples to emulate. This appropriation of Lilith by feminists has, by ignorance and by design, rewritten the Lilith mythology: She has taken on aspects and attributes She had not posessed for four thousand years. But that is the nature of Goddesses and Gods.
Lilith is also associated with homosexual women, though I have found no reason in the ancient and contemporary litature of Lilith that supports this association. It is possible that some people equate strong, independant, self-responsible women with "lesbianism:" this seems an unlikely equation to me, since it implies that independence and strength are somehow associated with ones' sexuality--- which is not so.