[Dullahir]

Tell me if this might be what you're looking for. There is a tweak within Calibre called 'Control Sorting of Titles and Series in the Library Display"

The description:

"ID: title_series_sorting

Control title and series sorting in the library view. If set to
'library_order', the title sort field will be used instead of the title.
Unless you have manually edited the title sort field, leading articles such as
The and A will be ignored. If set to 'strictly_alphabetic', the titles will be
sorted as-is (sort by title instead of title sort). For example, with
library_order, The Client will sort under 'C'. With strictly_alphabetic, the
book will sort under 'T'.
This flag affects Calibre's library display. It has no effect on devices. In
addition, titles for books added before changing the flag will retain their
order until the title is edited. Double-clicking on a title and hitting return
without changing anything is sufficient to change the sort."

Basically, I think what this means is with Library_order chosen, the books will be displayed as 'Lord of the Rings, The' and with 'Strictly_Alphabetic', they will be displayed as 'The Lord of the Rings'.


Additionally, if this doesn't work, I'm sure you could do a search within the Calibre Library to find all instances of the word 'The' in the title. Monotonous, I'm aware, but perhaps it might help if all else fails. Good luck.