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In order to remove the Venue from the This Week widget, you could simply add this CSS:
.tribe-this-week-widget-wrapper .tribe-venue { display: none; }
You can add custom CSS code via your child theme’s style.css file or via a plugin like Simple Custom CSS or, my favorite, Jetpack. Jetpack supports regular CSS and the LESS and Sass pre-processors.
If you’re not a CSS expert, Jetpack’s Custom Design reference may prove helpful.
Please let me know how it goes for you.