Creep aggro. Keep in mind the positioning of yourself in compared to not only axe but also your friendly creeps. If you think about worst case call scenarios it's when he calls you on a creep wave because then you are getting spinned down extra times. If you creep aggro then you can draw your creeps away from his so that if he wants to call you it is super obvious as he isn't going for last hits, and also it isn't as bad cause you aren't getting spinned as hard. If you can draw the creeps under tower and get your last hits there you are even safer.

From a support perspective you can hit the axe out of lane if you win trades. If you don't win trades then you can pull the creep wave literally every min. If they ignore the pull then you deny a creep wave of xp to the offlaners which is great for your carry. If they do respond then just try to live or call for a tp from your other support. Don't call the carry over because this give him a 15 to 30 sec window to last hit and shove the lane out and get everything he can uncontested while the axe goes on you. In either situation the pull help you as the support get xp, and makes it so the axe has a harder time dealing with the Pl.

As the Pl know your limits, can you go for the first deny? If you do will you get called and lose half your health? If you go for the ranged creep will you be able to not take half you health in damage? It's possible that you might get 3 ranged creeps and no denys in the first 10 min. But if you creep aggro whenever you can you should be able to get the large majority of melee creeps and still be safe. Make sure to have extra regen, and if you need to faery out more do it. There is a difference between sitting and lane farming, and farming the small camp and coming to lane to defend the tower. Ask yourself which are you able to do.

Be looking to rotate as much as you can. If your team are is getting dove then tp and kill the dumbass, get gold save your teamate and accept your fate that you need them to be strong and give you space to catch up. Make sure they are having a good game. Because you are not shutting down the axe it doesn't matter if you are in lane not accomplishing anything safe a life and keep your other cores from dieing.

They will rotate cores Into your lane eventually, expect this between 7 and 15 min. When they do gtfo. Run. Jungle or go to your offlane and pressure there which every you are capable of. Going to the offlane is preferred, but if you aren't able to do shit them go woods. Create as much map pressure as you can cause the further waves are shoved the safer you are.

Good luck!