Your privacy is protected.
Eloquodpod does not collect or distribute any information to anyone. It is as simple as that.
Some more details:
When you access a podcast, for example by playing it, the audio is downloaded from the server of the podcast provider (or the server of whoever they use to make the podcast available). This is very similar to visiting a website. The owner of the server may do analytics, for example, to see how many downloads of a podcast have been made.
When Eloquodpod downloads updated podcast information (for example, the descriptions of new episodes), the owner of the server on which the podcast is located may also do analytics. In both bases, Eloquodpod merely downloads the podcast information, in the same manner as if you had visited the relevant link in a web browser.