IngridLissette: I would reach out to your web developer for assistance. It sounds like you have a user/password for the WordPress admin area, but those credentials will NOT get you access to your server via FTP. The "Response: 530 User cannot log in. Error: Critical error: Could not connect to server" is FileZilla's long-winded way of saying "user or password failed".
Without FTP credentials, you will not be able to log in using FileZilla to access your files.
Do you have access credentials to your GoDaddy hosting account? It is possible that you may be able to access your website files directly via some type of File Manager in their control panel, rather than use an FTP client such as Filezilla to connect.