Dearest experts on the Lightning network,

If a peer closed their channel that we had together and the closing transaction fee is set to 1 sat/vbyte, what happens with our current mempool status? Normally, these sats would show up in a couple days, but with the current fee structure, I'm curious as to what happens next if this fee is set below the current threshold? Do I just keep waiting? Forever? Can this transaction get pruned? If so and that happens, what next? Thanks.