Emacs trident-mode key-binding not getting activated - emacs

Question

I am a beginner in Emacs. I am trying to use trident-mode (for Parenscript). I have copied the commands from the trident-mode site trident-site-here into my init.el file. But the trident-mode keybindings C-c C-e don't work. I am copy-pasting my complete init.el file below:
;; Added by Package.el. This must come before configurations of
;; installed packages. Don't delete this line. If you don't want it,
;; just comment it out by adding a semicolon to the start of the line.
;; You may delete these explanatory comments.
;;;; Added from Melpa.org
(require 'package)
(let* ((no-ssl (and (memq system-type '(windows-nt ms-dos))
(not (gnutls-available-p))))
(proto (if no-ssl "http" "https")))
(when no-ssl (warn "\
Your version of Emacs does not support SSL connections,
which is unsafe because it allows man-in-the-middle attacks.
There are two things you can do about this warning:
1. Install an Emacs version that does support SSL and be safe.
2. Remove this warning from your init file so you won't see it again."))
(add-to-list 'package-archives (cons "melpa" (concat proto "://melpa.org/packages/")) t)
;; Comment/uncomment this line to enable MELPA Stable if desired. See `package-archive-priorities`
;; and `package-pinned-packages`. Most users will not need or want to do this.
;;(add-to-list 'package-archives (cons "melpa-stable" (concat proto "://stable.melpa.org/packages/")) t)
)
; Commented coz it is there in the next line (package-initialize)
;;;; End Melpa.ord addition
(package-initialize)
(load (expand-file-name "~/quicklisp/slime-helper.el"))
;; Replace "sbcl" with the path to your implementation
(setq inferior-lisp-program "sbcl")
(custom-set-variables
;; custom-set-variables was added by Custom.
;; If you edit it by hand, you could mess it up, so be careful.
;; Your init file should contain only one such instance.
;; If there is more than one, they won't work right.
'(package-selected-packages (quote (trident-mode))))
(custom-set-faces
;; custom-set-faces was added by Custom.
;; If you edit it by hand, you could mess it up, so be careful.
;; Your init file should contain only one such instance.
;; If there is more than one, they won't work right.
'(default ((t (:family "DejaVu Sans Mono" :foundry "PfEd" :slant normal :weight normal :height 158 :width normal)))))
;;; From Trident-model.el site on Github
(add-to-list 'auto-mode-alist (cons "\\.paren\\'" 'lisp-mode))
(add-hook 'lisp-mode-hook
#'(lambda ()
(when (and buffer-file-name
(string-match-p "\\.paren\\>" buffer-file-name))
(unless (slime-connected-p)
(save-excursion (slime)))
(trident-mode +1))))
;;;; From same site, key bindings
(trident-add-keys-with-prefix "C-c C-e")
;; The key sequence for trident-eval-region is "e r", so it's now bound to "C-c C-e er"
**This is What is Not getting Activated**
One thing that I observe if I open a .paren file is that, repl buffer gets to top, and file buffer (where .paren file is shown) gets below. I don't know how to fix that. But I did interchange them by clicking on the buffer names to change. I don't know if it is relevant, but I am writing it just in case that is the culprit. If possible I would prefer regular (program text on top and repl buffer below) setting.
What am I doing wrong? Thanks for the help.
Edit-1: I have added link to the trident-mode-site.

Answer 1

Thanks Phils Phils' answer worked.
I am posting the change I made:
Earlier I was using:
(trident-add-keys-with-prefix "C-c C-e")
This was not working. With Phil's suggestion, I replaced that line with
(with-eval-after-load "trident-mode" (trident-add-keys-with-prefix "C-c C-e"))
This Worked.
I am a newbie, so I have detailed a seemingly simple/obvious answer. This is to help other newbies like me. We can get confused about the smallest of things. :-)
Phils, thank you again.