As far as I know, transmission uses RC4 as cipher algorithm (cf
https://github.com/termux/termux-packages/issues/10814#issuecomment-1157320098).
However, this is not enabled by default in openSSL 3.

This means that as soon as transmission starts, tries to load it, does not find
it and promptly crashes:

Thread 3 "transmission-da" received signal SIGSEGV, Segmentation fault.         
[Switching to Thread 0x7ffff66a66c0 (LWP 19992)]                                
0x00007ffff799180f in EVP_CIPHER_CTX_set_key_length (c=c@entry=0x0,
keylen=keylen@entry=20) at crypto/evp/evp_enc.c:994                      
Downloading 0.05 MB source file
/usr/src/debug/openssl-3.0.7/crypto/evp/evp_enc.c                               
994         if (c->cipher->prov != NULL) {                                      
(gdb) print c                                                                   
$1 = (EVP_CIPHER_CTX *) 0x0

As detailed in the linked thread, the legacy provider (where RC4 is) should be
enabled in openSSL 3 by adding

[legacy_provider]
activate = 1

I'm not sure if there's an issue upstream for transmission regarding this.