Nope, you’re good to go. Give it a couple weeks. If you haven’t heard back by December, maybe shoot them an e-mail but now that it’s all submitted you can exhale and be happy that you’re done!
Just in case this is useful, all your D has to do for the Honors College essays is write “National Merit.” Nothing else. Hopefully that will save her time, if she hasn’t written them already.
Congrats!