Kyouko's conclusion is actually extremely maladaptive and messed up. Love, the real thing, isn't something that you earn. It's something that somebody chooses to give you. You meet people, you get to know them and they get to know you and in the process you and they decide (subconsciously) how you feel about each other. For the sake of her own well-being and the healing of her deep emotional wounds, she would be better off forgiving her mother and letting her go. If one day Saena deals with her own issues and decides to try to get to know her daughter, great! But otherwise, Kyoko shouldn't keep striving to earn something that her mother might never be capable of giving her (it'll only eat away at her mental well-being and undermine her ability to be happy).
Then again, many ideas in this manga are maladaptive and messed up. Actors (and other entertainers) typically get admiration from their fans; but its very rare that they get actual love. Because in the first place what a fan sees when they look at their favourite entertainer isn't the entertainer as they truly are, its the image they project. If you claim to love somebody you don't know, then it's not really them that you "love"; you love what you imagine they are, not them. So when they show you that they're not what you think they are, there goes your "love" for them.
I enjoy Skip Beat, but I hope people are examining the ideas it puts forth critically; because some of them are seriously toxic.