Meaning of take issue with or take issue over

Test No. [color=blue]incompl/advan-29 “Letter Writing (1)”, question 3

To begin with I would like to take over the name itself.

(a) outcome
(b) issue
© trouble
(d) pains

Test No. [color=blue]incompl/advan-29 “Letter Writing (1)”, answer 3

To begin with I would like to take issue over the name itself.

Correct answer: (b) issue

Your answer was: [color=green]correct
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I’d like to take issue over…
any other expression so I can grasp the real meaning.

thanks,…

This means argue about/have a disagreement about.