You have three turning tools: bow thruster, rudder, and prop walk.
Rudder - or more specifically, rudder wash. It's basic, but a rudder only works when there is water flowing across it. This means you can direct a blast of turning power by setting the helm hardover, then putting the gear in forward. Of course it will also arrest backwards momentum, but the rudder blast can be used to kick the stern. So at some point while backing into your starboard tie slip with the helm hardover to starboard to offset propwalk, you'll need to quickly set the helm to port, then give a "burp" of forward gear enhanced with a few hundred RPMs for a second to kick the stern towards the dock. Timing is important here: handover while in neutral, engage in forward, neutral, back to hardover starboard if you still need to go backwards.
Prop walk. As Gdavid says, you are fighting prop walk. Spending as much time in neutral is your best defense. Try fairly robust blasts in reverse to build backwards momentum, then go to neutral so you can steer in reverse. Not sure the size of rudder on your boat.
There is one last tool in your toolbox. A springline. TF member Hippocampus recently posted a technique that might work here. If you can get a line from the end of your dock finger to the aft starboard cleat on your boat, you may be able to 'lever' the stern into the finger. This technique could be a bit delicate and really needs some practice. But it might work. If it does, would definitely hold against some counter-wind.
That's everything in your toolbox. Rest is practice. I will say that not all docking situations are easy or even possible. Responses from TF members are, in my opinion, often overly optimistic and prescriptive. As if there is a magic Easy Button that will solve a particular docking challenge. Not so - there is a ton of trial and error and practice. Every boat reaponds a bit differently, sometimes inexplicably. And sometimes the results are not great.
Final words: crew communication and inclusion is very important - at slow speeds (and ehile anchoring, BTW), helmsman may be at the wheel, but often crew controls the boat. Large and ample number of fenders are your friends. And a question- any reason you can't go in bow-first? Prop walk would be working with you instead of against.
Good luck and please update.
Peter
EDIT - recent TF thread on single engine boat docking. It's a good thread with many contributions. Might be helpful.
https://www.trawlerforum.com/forums/showthread.php?t=68254