Is this bankruptcy case going to be discharged and closed automatically by the court?

I am not able to read the Trustee's mind, but this time of year, the most common asset not protected by an available exemption would be the upcoming income tax refund check. The Trustee is not obligated to inform you of what asset she intends to seize, especially if this is an asset you somehow forgot to disclose on your schedules.

Did you actually file a formal written objection to the motion? If you did, and the moving party took no action, then you probably prevailed. But you should check with the court records to be certain what happened.

You should get your discharged automatically, if no one has filed an objection to discharge. The case will not be closed unless there are no pending matters, such as assets.

It sounds like you are aware that there is a difference between a discharge and the closure of your case. The discharge should be "automatic" now that the time for objections to discharge has passed, but that will not close your case until the trustee has filed her final report. You have the right to ask her what assets she is pursuing but it may not have anything to do with you. It could just be something she is trying to get from a creditor. There is no hard and fast time limit for a trustee to close a case, so there is not a lot you can do other than seeking peace of mind and assurance that she is not trying to get anything more from you. The judge may ask the trustee for a status report if the court feels the case is staying open too long.