is this website legitimate for booking hotels?

I am new to this website and just kind of spooked to enter my credit card info into a website that has no phone contact listed. Has anyone ever booked a hotel thru this site?

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Discovery Mexico has been online for over 8 years helping hundreds of clients a month with their hotel, tours or transportation reservations. We do publish our phone number but only on business hours from 9am till 2pm and from 4pm till 7pm. Michelle Cuervo Customer Service Discovery Mexico Let us know how can we help you!

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Remember: No phone numbers, no email addresses and no website urls.