Hi
If you got your 1.10 patch from a link on an old thread of the forum, you probably really downloaded the latest patch (1.13b) instead, no matter what th thread title said.
The patches use to share the same download link, a generic
http://ageoddl.telechargement.fr/latest/AACW_Patch.zip
where newest patch version substitute older ones.
This way obsolete patches are removed from the forums and you always get the latest one when you download.
About reinstalling, i do it from time to time to get things "clean" after patching several patches, mods, hot fixes... one above the other.
But as Clovis says, unless something don't work OK is not mandatory to reinstall for each patch.
It won't hurts, of course, and its the cleanest and optimal way to patch, but most of the times you can patch over a previous version without any problem.
Regards