I’m sorry for the confusion, but “kindle” is not currently recognized as a Top-Level Domain (TLD). Top-Level Domains are the suffixes or the last part of an internet domain name, which follow the last dot. For instance, in the domain name www.google.com, “com” is the TLD.
According to the Internet Corporation for Assigned Names and Numbers (ICANN), the organization that manages TLDs and Internet’s global domain name system, there is no TLD called “kindle” registered as of now. Their comprehensive directory of all active TLDs, including generic TLDs (gTLDs) like .com, .info, .org and country-code TLDs (ccTLDs) like .uk (for United Kingdom), .fr (for France), does not contain “kindle”. You can confirm this by checking ICANN’s TLDs list (https://data.iana.org/TLD/tlds-alpha-by-domain.txt).
As of now, the ICANN’s New gTLD Program is responsible for the creation of new TLDs. Since 2013, they have launched hundreds of new TLDs, but “kindle” is not one of them. You can check the full list of new gTLDs at ICANN’s dedicated page (https://newgtlds.icann.org/en/program-status/delegated-strings).
The term “kindle” you’ve referred to might be related to Amazon’s Kindle, which is an e-reading device. Amazon does own several TLDs like .amazon, .aws, .prime, but none related to “kindle.”
Bottom line is, the “kindle” TLD currently does not exist in the world of internet domain names according to the ICANN, which is the ultimate authority in this matter. For a new “kindle” TLD to be created, there would have to be an application with the ICANN, followed by a review process. No such information is available in the public domain, so it’s safe to assume that “kindle” is not a TLD.