Shinyapps - Searching/Listing an app

Hi All,
I am new to and am exploring if this something we can use at my company (open to professional tier). I was wondering about searching or listing of an app that someone has published.
Specifically, (w/ or w/o a Pro account) if we publish an app on ShinyApps, does it get listed anywhere that someone can find by browsing or searching. In other words, between public apps and private apps (requiring authentication), is there a way to have unlisted apps? We already have a login system on our own website, and I was wondering if we could just embed the apps we create in our website, so our website visitors could use them, and where the outside world could not accidentally stumble on our apps.
Is that possible?