1. A mobile wireless communications device comprising: a wireless transceiver and a controller cooperating therewith and configured to receive text messages from a wireless communications network, said controller configured to be switchable between a normal message mode and an audio message mode; a user interface device connected to said controller and configured to receive at least one audio mode filter parameter from a user; and a headset output connected to said controller; said controller, when in the audio message mode, configured to select received text messages based upon the at least one audio mode filter parameter, and output audio messages comprising speech generated from the selected text messages via said headset output; said controller configured to switch between the normal message mode and the audio message mode based upon a connection between said headset output and a headset and an override mode setting, the override mode setting causing said controller to remain in the audio message mode.