Hi - my name is XXXXX XXXXX I'm a Bankruptcy litigation attorney. Thanks for your question, and I'll try to add to what has already been posted.
First, if you're going to be out of town or unavailable for the hearing on the lender's motion for relief from the automatic stay, you can file a motion to continue the hearing - - as the debtor. You don't have to be the movant in order to request that the hearing be moved. The court clerk's office is likely referring to the fact that the movant must be the one to re-notice the case for hearing, send out the notice to the people listed on the mailing matrix, etc. The court would order the movant to re-notice the motion for relief from stay IF your motion to continue the hearing were granted (which is likely).
As for the foreclosure itself, the automatic stay under Section 362 of the bankruptcy code
stopped the foreclosure that was begun before you filed bankruptcy. The filing of the bankruptcy did stop that foreclosure because the notice dates, publication of notices, sale dates, etc. are all affected by the bankruptcy.
Thus, your property is not "in foreclosure" because of the automatic stay, but the lender's motion to lift the stay (or motion for relief from the automatic stay) is its request to the bankruptcy court for permission to proceed with the foreclosure while you're in bankruptcy (that's what "lifting the stay means"). Thus, IF the court grants the motion to lift the automatic stay, then, the lender can then re-start the foreclosure process against you - - even while you're in bankruptcy.
I hope this answers your questions, but if you need something else, please REPLY and I'll be glad to respond. Thanks.