Hi there I realise you are still in beta, but thought you might like this info.

I added your latest versions, but have not added trinkets or Minemenufabric (listed as optional dependancies). I am also running a bunch of other mods with no issues, but I disabled them (using MultiMC) to test. I really love this mod having used it when I played with Forge, so am really excited to see it being developed for Fabric! Cheers!

When I launch the game I get the crash message below:

====================

Mods:
[❌] advancements-enlarger-0.2.4.jar (disabled)
[✔️] AE2WTLib-9.0.0-beta.6
[✔️] appliedenergistics2-0.0.0
[❌] architectury-2.5.31-fabric.jar (disabled)
[❌] Autofish-0.9.3-fabric-mc1.17.jar (disabled)
[❌] balm-fabric-1.3.0+0.jar (disabled)
[❌] beenfo-1.17.1-fabric0.36.1-1.3.2.jar (disabled)
[❌] better-signs-and-frames-0.8.2.jar (disabled)
[❌] CHAS-1.6-Fabric.jar (disabled)
[✔️] cloth-config-5.0.34-fabric
[❌] ColorUtility-[1.16.5-1.17]-fabric-2.0.1.jar (disabled)
[❌] DarkPaintings-fabric-1.17.1-4.0.2.jar (disabled)
[❌] diggusmaximus-1.4.5-1.17.jar (disabled)
[✔️] fabric-api-0.40.8+1.17
[❌] fabric-branders-spawnermod-1.17-1.1.1.jar (disabled)
[❌] fabric-language-kotlin-1.6.2+kotlin.1.5.20.jar (disabled)
[❌] fabric-language-scala-1.1.0+scala.2.13.6-fat.jar (disabled)
[❌] fabricmod_VoxelMap-1.10.15_for_1.17.0.jar (disabled)
[❌] facility-mc117-0.12.224.jar (disabled)
[❌] flytre-lib-1.3.9.jar (disabled)
[❌] graves-1.0.8+1.17.1.jar (disabled)
[❌] InventorySorter-1.7.9-1.17.jar (disabled)
[❌] lapisreserve-1.0.8.jar (disabled)
[❌] LargeFluidTank-17.1.2-fabric.jar (disabled)
[❌] libblockattributes-all-0.9.2.jar (disabled)
[❌] linkedstorage-1.3.13.17.jar (disabled)
[❌] malilib-fabric-1.17.1-0.10.0-dev.25.jar (disabled)
[❌] megane-5.2.0.jar (disabled)
[❌] MobCatcher-Fabric-1.17.1-1.0.10.jar (disabled)
[❌] modmenu-2.0.11.jar (disabled)
[❌] pipe-1.17-1.5.0.jar (disabled)
[❌] quarry-reborn-1.17-0.4.3.jar (disabled)
[❌] quartz-elevator-1.2.5-1.17.1.jar (disabled)
[❌] RebornCore-5.0.9-beta+build.131.jar (disabled)
[❌] repurposed_structures_fabric-2.4.3+1.17.1.jar (disabled)
[❌] ResourcefulTools-Fabric-1.17.1-1.1.20.jar (disabled)
[❌] rightclickharvest-1.3.0.jar (disabled)
[✔️] RoughlyEnoughItems-6.0.268-alpha-fabric
[❌] rpgstats-4.1.7+1.17.1.jar (disabled)
[❌] TechReborn-5.0.9-beta+build.131.jar (disabled)
[❌] trample-disabler-1.0.3.jar (disabled)
[❌] trapexpansion-1.3.3+fabric-mc1.17.jar (disabled)
[❌] wirelessnetworks-1.1.2.jar (disabled)
[❌] wirelessnetworks-1.3.1.jar (disabled)
[❌] worldedit-mod-7.2.6-beta-02.jar (disabled)
[❌] worldtime-1.17.1-fabric0.36.1-1.3.1.jar (disabled)
[❌] wthit-fabric-3.9.0.jar (disabled)
[❌] xp_storage-1.4+1.17.1.jar (disabled)

[08:50:40] [main/INFO]: Loading for game Minecraft 1.17.1
[08:50:40] [main/FATAL]: A critical error occurred
net.fabricmc.loader.discovery.ModResolutionException: Could not find required mod: ae2wtlib requires {appliedenergistics2 @ [9.0.0-alpha.8]}
at net.fabricmc.loader.discovery.ModResolver.findCompatibleSet(ModResolver.java:198) ~[fabric-loader-0.11.7.jar:?]
at net.fabricmc.loader.discovery.ModResolver.resolve(ModResolver.java:832) ~[fabric-loader-0.11.7.jar:?]
at net.fabricmc.loader.FabricLoader.setup(FabricLoader.java:195) ~[fabric-loader-0.11.7.jar:?]
at net.fabricmc.loader.FabricLoader.load(FabricLoader.java:185) [fabric-loader-0.11.7.jar:?]
at net.fabricmc.loader.launch.knot.Knot.init(Knot.java:132) [fabric-loader-0.11.7.jar:?]
at net.fabricmc.loader.launch.knot.KnotClient.main(KnotClient.java:28) [fabric-loader-0.11.7.jar:?]
at jdk.internal.reflect.NativeMethodAccessorImpl.invoke0(Native Method) ~[?:?]
at jdk.internal.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:78) ~[?:?]
at jdk.internal.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43) ~[?:?]
at java.lang.reflect.Method.invoke(Method.java:567) ~[?:?]
at org.multimc.onesix.OneSixLauncher.launchWithMainClass(OneSixLauncher.java:210) [NewLaunch.jar:?]
at org.multimc.onesix.OneSixLauncher.launch(OneSixLauncher.java:245) [NewLaunch.jar:?]
at org.multimc.EntryPoint.listen(EntryPoint.java:143) [NewLaunch.jar:?]
at org.multimc.EntryPoint.main(EntryPoint.java:34) [NewLaunch.jar:?]
Caused by: net.fabricmc.loader.util.sat4j.specs.ContradictionException: Creating Empty clause ?
at net.fabricmc.loader.util.sat4j.minisat.constraints.cnf.Clauses.propagationCheck(Clauses.java:117) ~[fabric-loader-sat4j-2.3.5.4.jar:?]
at net.fabricmc.loader.util.sat4j.minisat.constraints.cnf.Clauses.sanityCheck(Clauses.java:97) ~[fabric-loader-sat4j-2.3.5.4.jar:?]
at net.fabricmc.loader.util.sat4j.minisat.constraints.MixedDataStructureDanielWL.createClause(MixedDataStructureDanielWL.java:81) ~[fabric-loader-sat4j-2.3.5.4.jar:?]
at net.fabricmc.loader.util.sat4j.minisat.core.Solver.addClause(Solver.java:401) ~[fabric-loader-sat4j-2.3.5.4.jar:?]
at net.fabricmc.loader.discovery.ModResolver.findCompatibleSet(ModResolver.java:195) ~[fabric-loader-0.11.7.jar:?]
... 13 more
Process exited with code 1.

you are using an unsupported version of ae2, 0.0.0 is an accidental release which should not be used.
Since ae2 1.17 is still in early alpha and there WILL be changes that break addons, every ae2wtlib version is only compatible with a specific ae2 version.
In your case this is appliedenergistics2 9.0.0-alpha.8 (the latest version of ae2)