The bot only needs to be added to your server to give us permission to generate invites. Currently the bot itself does not do anything. So we keep it offline. However, the invites are generated via the website using the bot's access. So there is no need to worry about the bot being offline. However, we also suggest you check your invites to make sure they are fully working.
Also, we have a system that will delist your server after a day if the bot can not create invites. You will get an email from [email protected] if that happens.