Can Coffee or Tea Reduce How Much Iron You Absorb From a Meal?

I’ve heard that drinking coffee or tea with a meal can affect iron absorption, but I’m not sure whether the concern applies to everyone or mainly to people who already have low iron.

Does timing matter much—for example, having a cup with lunch versus an hour later? I’d be interested in how this differs between iron from plant foods and iron from meat, and whether the same question applies to prescribed iron supplements.