No issues with Safari 7.0.3 on v10.9.2 here ...
Try deleting the cache associated with Safari.
Open a Finder window. From the Finder menu bar click Go > Go to Folder
Type or copy paste the following:
Click Go then move the Cache.db file to the Trash.
Quit and relaunch Safari to test.
If that didn't help, you may have a Safari extension or third party plug-ins installed that was compatible with the prior version of Safari but not 7.0.3.
From the Safari menu bar click Safari > Preferences then select the Extensions tab. Turn that OFF, quit and relaunch Safari to test. If that helped, turn one extension on then quit and relaunch Safari to test until you find the incompatible extension then click uninstall.
If it's not an extensions issue, try troubleshooting third party plug-ins.
Back to Safari > Preferences. This time select the Security tab. Deselect: Allow plug-ins. Quit and relaunch Safari to test.
If that made a difference, instructions for troubleshooting plugins here.
messaged edited by: cs
Thanks for the comprehensive reply. I tried the first suggestion but did not have a
~/Library/Caches/com.apple.Safari/Cache.db file. Searched in three ways, first as you suggested, then went manually to the in the Library/cache folder and finally tried a Spotlight search. Would the lack of that file cause problems?