What does "half the point" mean?

Solution 1:

I think the expression simply means:

• I don't like her, but that's not even half of the reason .. why I am disagreeing or objecting .. (without knowing the context this is speculation).

Half the point is derived from the more common expression the whole point. I am not aware of any idiomatic use. Example:

• I don't like her; that's the whole point (e.g. why I object to her becoming my boss).

Solution 2:

One idiom I often run into:

"But that's not the half of it."

This idiom can be found on
*theFreeDictionary.com
*yourDictionary.com
*The American Heritage Dict. of Idioms

Here it implies that there's a more significant other aspect.

In the given context, the speaker suggests that while not liking her is true, there's another more important thing about it. Reading further should clarify on what that is.