It matters not one jot whether the SIM you've been gifted is "e" or "p", that it's a SIM is what matters. Also remember to text ROAMING to 150 before leaving the UK, to ensure roaming is activated on your EE-SIM, unlocking access to foreign networks.
Check whether the add-on you've requested, is a roaming one - these are normally now only obtained once you have arrived in a foreign country.
Using your EE SIM abroad means taking your UK number with you, and having full use of your voice, text & data (with an FUP) allowances.
Using a local network SIM abroad, means being a customer of the local network in your host country, at whatever rates they charge.
The significant difference is that your EE number is a UK number, the local-network SIM will be a number native to the country you are visiting. Callers from the UK can contact you on your UK number entirely as normal, and an add-on covers the international part of the call. If you're likely to be receiving many calls from callers in the country you're visiting, they will be making an international call to the UK, unless you have a local number.
