1- trust refers to “believability” i.e., when consumers believe the claim of a review

I would recommend to read

Article What makes an online consumer review trustworthy?

Dear Maxwell Moyo,

You have three questions.

1. What is customer trust?

Customer’s confidence in a product or person or company. A belief in the given content of a social commerce organisation that enhances e-word-of-mouth and the purchase intentions of customers. Customers are more likely to buy from people they trust or purchase a product or service that performs what it claims. It also refers to a Customer’s confidence in a product or person or company.

(source: https://www.igi-global.com/dictionary/explaining-customer-loyalty-to-retail-stores/40637)

Also, refer to the role of the customer relationship in the following link:

https://www.pitneybowes.com/content/dam/pitneybowes/australia/en/legacy/docs/International/UK/software/pdf/white-papers/The-Role-Of-Trust-In-Consumer-Relationships-WP.pdf

2. How does Customer Trust influence Customer Loyalty in the hospitality industry?

It is easy to understand with an example. If you (a Customer) have a doubt you will approach a person (service provider - a Hotel) to clear your doubt. If you are satisfied with the answer (service) given, you will continue to obtain the service with your satisfaction and this will turn into a loyalty. Higher the number of service obtained leads to a higher level of trust on the service and institution that can turn into strong customer loyalty. This implies that there is a positive relationship between Customer Trust and Customer Loyalty.

3. Any studies done on the impact of customer trust on customer loyalty.

http://www.abacjournal.au.edu/2009/jan09/article02_JanApr2009.pdf

Article The Mediating Role of Customer Trust on Customer Loyalty

https://globaljournals.org/GJMBR_Volume12/4-The-Effect-of-Customer-Trust-on-Customer.pdf

http://www.indusedu.org/pdfs/IJRIME/IJRIME_384_64993.pdf

Hope the above may help in your studies. Good luck.

Regards and Happy New Year,

S. Senthilnathan

I think if you provide proper safe and secure environment in hotel and provide the service properly as per standards, Can win the trust of the guest and guest may revisit your hotel or will do positive mouth publicity of your hotel