Explanation:

- Accessed: This option signifies reaching or obtaining entry to a particular place or information. Typically used in contexts like accessing a computer system or restricted data. Not quite fitting here since it's about physically moving into a space.

- Entered: This involves going into a place. Here, it aligns perfectly with the scenario of moving from outside the hotel to the inside. It describes a physical transition.

"Entered" is the right answer.

- Admitted: This suggests permission was granted for someone to enter. Usually used when entry is not automatically assumed, such as in places with guards or strict policies.

- Invaded: This implies entering a place in large numbers, typically aggressively or without welcome. It's not suitable for this casual context of entering a hotel.