I hope you don't mind my saying this, but I don't like the way you are arguing.
a feeling that something good will probably happen
thinking that this would happen (It may or may not have happened.)
stopped believing that this good thing would happen
wanting something to happen (and thinking it quite possible)
showing concern that what you say should not offend or disturb the other person: a way of being polite
wishing for something to happen, although this is very unlikely
Explanation
Option (E) is correct because the phrase 'I hope you don't mind my saying this' is used to politely introduce a statement that might offend or disturb the listener. In this context, the speaker is about to criticize the way the other person is arguing, so they use 'hope' to show concern for the other person's feelings and maintain politeness, which perfectly aligns with the definition in option (E).