new modul and different view

you would have to cache the query, but a ordering after the settings in the backand is also a good way. Sorry for my dumb question but how do you chance the ordering in the backend?

And a new suggestion:

a function in the module to generate more than one row for the preachers.

So I could publish the module under the sermons.

THX

Module output should be able to be cached by Joomla anyway. I never worked with the Joomla cache and thus never tested it

The ordering can be set in the respective backend view. Sort the sermons/series/speakers after the "ordering" column and you can shift them around or enter new values for the order.

You mean a layout which is showing all preachers in line? You can actually do that yourself in your template. The list is a simple HTML list which can be formatted with CSS the way you like it. You can add a custom CSS class to the module and then apply specific CSS rules to this classes ul and li entries.
Your layout probably does the same thing already for the horizontal menu, which most likely is a regular HTML list as well

No not exactly, for example i have 30 Preachers and i want to show them in 3 columns.
So that the module generate for every ten preachers a new coulmn.

You could still do that with CSS I think.
Basically if you left float every <li> it will show each speaker in line and begin a new line as soon as it reaches the border.
Something along the line This would create a list with 10 speaker in a line, with each speaker being 10em width. The sizes have to be adjusted according to you speaker names of course.