Provided you can type the mark into the box when you apply to register the mark then you should be able to obtain a trade mark for the word alone, including the accent.
As this is a bit of a grey area, and you need to avoid registering the mark as a figure (which would be limited to how the mark was presented when you registered it, i.e. by font and colour), I would recommend applying to register the mark as a series of 2 word marks:
honor
honór
There is no increase in official fee for applying to register a series of 2 marks.
A series application will cover both representations of your mark and ensure you are protected for use of the text (presented in any form or styalisation) honor, with or without the accent.