Counselors see this all the time. It's called transference. There is also counter-transference. It is just a hazard of professional relationship making, whether for profit (as a counselor) or for the Kingdom (where we call it ministry). When it happens among equals (friends), they know they give to each other, and choose at each stage to continue the relationship, which appears equally beneficial to them.
She cannot separate the love of God through you from your personal love for her. She is looking for a motive for that love, other than that of God. Abandoning her will work, for you. You and your husband need to pray if that is God's choice, or just your husband's. It may prove to be the best option for you.
If you choose to let God use you, it is an opportunity to deepen this relationship. The first question is, is there any truth to her hidden allegation that you may have another motive for being nice to her? Maybe pride, or to prove you can do it? These are hard to separate sometimes, from pure, true God's love. If you have done this, confess it to her, and your relationship will deepen. If you have not done this, why is she thinking you have? Examine how you minister, how you communicate. It may well be all her fault, but it will not hurt you to refine your ministry abilities. To the extent it is her fault, you are dealing with a stronghold, or a demon telling her things, and these things are the next layer you need to uncover for her eventual deliverance. That, I'm sure you can handle with the power of Jesus' name.
