Based on the - ly ending and clues in the sentence,

what is the meaning of securely?

You need the sentence to be 100% sure but, it can mean "im a stable manner" or "without danger".

To be secure, all secure, or if you want to be literal "without every care"

Explanation:

The Latin suffix ''-ly'' means "every" or "like" and when paired with the Latin word "secure" means, in a very basic explanation, "to be without a care."

It is to be noted, however, that this is a rough translation and can change with context.