Hi Jen,
I wasn't able to find the option in YouTube to paste embedded code for a video clip as opposed to uploading a video clip. In general I think most people upload the video to YouTube and then copy the YouTube link or code for the uploaded video clip. Please send us more details of how you can embed code into your YouTube account.
In ooVoo, if there is a problem copying the code from the 'Published files' tab in the 'Recorded files' window, then select the code and copy it manually (Apple command key + C). However, you can copy the URL browser link and paste it into your website or send it to people (and they can click on the link to view the video clip). From the 'Local files' tab you can also save the file to an avi format and upload the file to YouTube but it's much easier to just send the URL browser link.
I am forwarding this to our support team since you opened a support request.
Thanks for using ooVoo and I hope your problem will be resolved quickly.
Marvin