Oh I see what you mean now. That is however not injected by the plugin. You are using rocket loader, which removes the scripts and injects them later on, that’s why it’s probably reported as injected. Normally it’s on the page long before the page load event activates.
Usually inline scripts shouldn’t be defered, but I guess rocket loader takes care of that. It has ~7k characters for 2 search instances, which is perfectly normal. If you look at the woocommerce stripe init inline scripts, for each configuration they use around ~3k characters, and there is two of them. These are common and does not affect seo (as they are scripts to initialize data) nor the page load speed.
All the best,
Ernest