Frustrated...no supervisors takeover my last chat

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Around 4:45am of 21st of May, I've received my last chat customer. My work shift will end at 5:00am. However, it didn't end at 5:00am. The query is all about my customer didn't received the parcel on expected delivery date. And even a day after. Then on the 3rd day after the expected delivery date, the customer was on the vacation. Then after her vacation, her parcel was returned back to the warehouse. The process for this is to refund the customer in which I did. Customer accepted the refund. However, for inconvenience she asked for some discount in the next order. As per our process, we can only provide a 15% discount for full priced items only with expiration to use 3 weeks from now. In which, if you don't order after 3 weeks, that discount will be invalid. Customer didn't accept the restriction. I explained about it. Still not accepting the resolution I've provided. Until she's asking for a supervisor. My immediate supervisor already been out. I asked some help from a different supervisors from a different teams. However, none of them accepted my customer's need to chat with them. It took me more than 15 minutes to explain to the customer that I'm still looking for a supervisor. She's willing to wait. And no one still wanted to takeover my chat. My last customer. Until I decided to inform the customer that no one is available as of the moment, she can contact in the next few hours and I gave her chat reference number. Customer didn't respond until chat disconnected. The chat conversed with 45 minutes in which I had an overtime of 30 minutes. Although, the overtime has an extra pay, however, the ranking of assisting a customer for more than 30 minutes will affect my performance ranking. We should have customers at least 4 customers in one hour. The worst thing here is a possibility of my customer will provide dissatisfaction survey against me. I'm hoping that she'll not provide a survey against me.