Why is CPFP (Child pay for parent) immune to double spend?

Why is CPFP (Child pay for parent) immune to double spend?

Assuming I have 10 Bitcoins in my wallet and I send 4 BTC with a tiny fee and it gets stuck in the mempool due to a low transaction fee. If I understand CPFP correctly I would then send a second transaction of 4 BTC with a higher fee to the same address. My second transaction is likely to confirm quickly, but what happens if most of the mempool transactions start to get processed due to low demand and my first transaction finally gets processed? Why would a miner reject it and would I be left with 2 Bitcoins or 6?

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