I don't know based on the rulebook. The provided context explains that:

• A Monster may Yield Tokyo only after being wounded (page 6).
• If a Monster loses their last Life Point, they are eliminated and their keep cards and Energy cubes are discarded (page 4).
• When no one is in Tokyo, a Monster takes control of Tokyo by placing it on the board (page 5).
• The first player must enter Tokyo during the "Enter Tokyo" step (page 5).

However, the rulebook does not specify what happens if Tokyo becomes empty due to a Monster being eliminated while yielding. It does not clarify whether the next player immediately enters Tokyo or must wait for their turn.

To answer this question, the rulebook would need to specify the procedure for when Tokyo becomes empty outside of the normal "Enter Tokyo" step.

Source: Core Rulebook (pp. 3, 4, 5, 6)