You're fine and so is the chain.
Some don't want you reusing the "master" link because it doesn't hold as securely when removing/reattaching it.
Using a standard link to remove and reattach has no impact on the strength and safety of the chain at that given link. The only problem that can occur is the pin is not seated quite correctly resulting in a stiff link. If this happens just manipulate the link laterally and vertically until the pin seats and pivots easily/smoothly.
Before the "quick" links this is how everyone removed/installed a chain.