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I think the module is not fit with your joomla template, can you try on another template, please? because I see some un-compatible css code with this class .rt-container
I suggest you contact to the RT developer, this issue is coming from this class "body #rt-top-surround #rt-header" which it makes the top header "#rt-header, #rt-top" be covered by style from this class "body #rt-top-surround #rt-header" , so it make the top header module doesnt show.