I can understand the pressure of being in a rehearsal and the director *demands* that you magically produce some item that s/he has never once mentioned to you before. Now, that very item is sitting on the other side of the room and explaining "that doesn't belong to us" doesn't seem like it's going to cut it. I can see, in a moment of weakness - frustration - just not wanting another fight, borrowing the items that day. However, I would also try to make contact with you, apologize and let you know what I borrowed (and how I returned it to ready to use state if necessary, like washing cups or letting you know they were never put to mouths, etc.)
But it sounds like this was more than a 1 time thing, continuing throughout the process, which isn't ok with me.
My biggest issue was that it WAS linens and fabrics... not for the stained and ripped, but the sanitary/skin contact issues. But then again I'm weirded out by the idea of sharing a pillow(case), especially with someone I don't know...
"Gently" expressing your wishes sounds like you handled it maturely and perhaps the SM will take it as a learning moment. I think you were justified in being upset but hope that, now that you feel supported, you can put it in the past and focus on your show. Best wishes as you move to the stage!