I am looking for a single word to describe a one-sided friendship.
closed as off-topic by user140086, tchrist♦, herisson, ab2 ReinstateMonicaNow, vickyace May 12 '16 at 1:21
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If a friendship is one-sided, it could be described as unrequited.
By one-sided friendship do you mean that a person wants to become a friend of another person's but is rejected as they do not hold mutual affection? If yes, then that is not a friendship at all.
Friendship is a relationship between two or more people who hold mutual affection for each other.
You can say that the person has admiration (or respect) for the other but they are not friends. Or the person trusts the other and is friendly to him/her but there is no mutual affection between them.
A one-sided affection is said to be unreciprocated.
Not sure if this fits in well, but I thought you could consider unilateral, too.
A forced or forceful friendship.
"Carry the torch" is an idiom to mean "have one sided love".