Yes, Indigo is a safe credit card. The Indigo Credit Card is issued by FDIC-insured Celtic Bank on the Mastercard network and has standard credit card security features such as $0 fraud liability protection and a 3-digit security code printed on the back.
Here's more info about the Indigo Credit Card:
The Indigo Credit Card is a decent choice for people with bad credit that prefer to get an unsecured credit card instead of a secured one. It offers a $300+ credit limit and has a $0 - $99 annual fee. Though the Indigo Credit Card is "unsecured," this only means that no security deposit is required to open the account. The Indigo Credit Card is as safe as any other credit card issued on the four major credit card networks.
In addition, the Indigo Credit Card is eligible for Mastercard ID Theft Protection, a service which continuously monitors your Social Security number, e-mail addresses, and credit card accounts. If your identity is compromised, representatives are available to assist you 24 hours a day, 7 days a week.
Keep in mind that if your card is ever lost or stolen, you will need to call customer support at (888) 260-4532. The sooner you report a lost or stolen card, the quicker you'll be able to prevent unauthorized charges on the account and get a replacement card shipped to you in the mail.