As the issue occurs when clicked on a link, you may try to copy and paste the link in a new browser window to see if that works.
Also, as the issue is related to Office 2003 and IE10, I would suggest you to post the issue on Microsoft Forum as well.
Please feel free to reply for any further assistance. I will be glad to assist you further.
Yes I will post on a Microsoft forum. I perform a work around to the problem by opening a browser FIRST then click on email links. The issue does not occur when I do this. Thanks for all your time and help!
I will also be researching more on this issue to find a resolution.
I will also request you to share the resolution, if you are able to find a possible resolution for this issue.
Keep me posted with any updates.