Ok, I think I know what you want. Although it cannot be done in Word. Luckily, it can be done in Excel and even more luckily, you can move between Word and Excel smoothly.
Here is what you need to do.
1) Highlight the enitre table in Microsoft Word
2) Right click and copy
3) Open Microsoft Excel
4) Right click and paste
5) Highlight the table in Excel
6) Right click and copy
7) Click on a different cell
8) Right click and select 'Paste Special'
9) On the pop-up box, select 'Transpose' and click ok
10) Highlight the transposed table
11) Right click and copy
12) Go back to Microsoft Word
13) Right click and paste
This will rotate your table.