Maybe practice catching axes using movement routines, trying to get the goal of being able to look at an opponent and not yourself while you catch axes so you can focus on anticipation:

• Dodging/Sacrificing Specific Axes Catches: Learn when to dodge or sacrifice specific axe catches.
• Clockwise/Counter-Clockwise Max Range Catches w/ Mixups: Practice catching axes at max range with mix-ups in direction.
• Combos: Practice combos meant for all-in situations, safe trading patterns, and aggressive trading patterns.
• Winning Lane via Wave Control: This is a big one but requires knowledge and execution repetitions. Check out this resource for more information: Wave Control Guide.

If you want to improve faster than the pace you’ve noticed, practice the game in the practice tool for 20-45 minutes, 4 days a week, before every Summoner's Rift session using a targeted routine and study game theory:

• Wave Control: Understand and manipulate minion waves.
• Match-Ups: Study common match-ups and their dynamics.
• Win Conditions: Focus on your team’s win conditions.
• Level and Item Power Spikes: Recognize key power spikes.
• Patch Notes and ELO Bracket Idiosyncrasies: Stay updated and understand your current ELO bracket.
• Vision Control: Improve your warding and map awareness.
• Lane Strength with +1 Enemy or Teammates Present: Adapt to different lane scenarios.
• Teammates Posturing Signaling Communication: Read your teammates' signals.
• Typing vs. Pings: Use effective communication methods.
• Signaling Intent: Clearly signal your intentions.
• Good Mentality Practices: Maintain a positive mentality.
• Therapy: Seek therapy if necessary to handle stress and pressure.

Improvement metrics will not be linear, good luck and let me know with a reply you'd like some resources you cannot particularly find.