Hi Josephine,
Our WooTickets plugin works directly with the WooCommerce plugin system to process payments. I did a quick search in the WooCommerce documents, and it appears that there are two extra WooCommerce add-ons that would allow you to collect payments via iDeal. One is called Sisow and the other is Wirecard.
When payment is received, the order status will update to reflect that. Any site admin will be able to view those order details. You can set various notification settings via the WooCommerce settings options. The default is for the admin to get an email when an order is placed. You would have to explore the WooCommerce options or ask their support for other options.
Let me know if I can answer anything else, or explain further.
Cheers,
Leah