Will Apple automatically sign you out if you change your Apple password?

My sister has my mums old iPhone which has my stuff logged in and she told me she could see my messages and I got a little freaked out and I wanna know if Apple logs you out automatically if you change your password ;-;
(The phone is supposed to be mine soon.)

If you change your Apple ID password it will change on Apple's servers. All, of your devices will have to log in again using the new password. They will all be automatically logged out.

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