I don't know which payment processor you mean but don't trust ppl with your bitcoins. You can't trust exchanges because you'll lose the cryptos if they ask for identity docs. I'd say Electrum's safe because only you'll have access to the bitcoin.
What is the right choice to use between a Bitcoin payment processor and an exchange wallet, if it so happens that I find myself in a new country or region that is far from the familiarity of language, the regular dress codes and services I once enjoyed ?
What's the best choice between a BTC payment processor and an exchange wallet to use for a migrant?