There is no limit to the amount of love we can give - think about that. If we truly WANT to love others, we will find ways to love them even in difficult circumstances. It doesn't mean that we put ourselves at risk, just that we are willing to care and give without concern for what our gift will bring to us in return.
Not everyone accepts or wants the Savior's love. Many will refuse our love, too. Often we will find that those most in need of our love will openly attack or try to hurt us. They want to see how deep our love goes. I've seen this in children from time to time. When children are hurting, at times they lash out - often at the people they need most. It isn't an excuse to walk away - it is an opportunity to prove yourself steadfast. My children have been through a lot in the last year. When they are worried, they will often respond angrily - and the best medicine for that has simply been to gather them up in my arms and melt them with love. It has brought many a sweet moment to me which might otherwise been lost in power struggles.
Love isn't controlling or demanding. Love is patient and kind. Love is honest, true and chaste. Love is a very very beautiful way to live.