In which of the following situations would a player receive a direct free kick?

A player receives a direct free kick when they deliberately handle the ball. This is a clear infringement of the Laws of the Game, specifically outlined in Law 12, which governs fouls and misconduct. Deliberate handling refers to a situation where a player intentionally uses their hand or arm to play the ball, and this results in a free kick to the opposing team from the spot of the offense.

The other scenarios listed do not result in a direct free kick. For example, a player receiving two yellow cards does lead to a sending-off but results in the opposing team being awarded a free kick only if a foul is committed in that context. Being offside does not constitute a foul and also does not directly award a free kick; instead, it results in an indirect free kick for the opposing team. Finally, being cautioned for dissent may lead to disciplinary action but does not correspond to any free kick award; the free kick is awarded only if a foul occurs. Thus, deliberate handling is distinctly recognized as a reason for a direct free kick, making it the correct choice.