Nessus

You can use Nessus to detect TortoiseSVN:

• Subversion Client/Server Detection (Windows) (40619)
• Microsoft Windows Installed Software Enumeration (credentialed check) (20811)
• SNMP Query Installed Software Disclosure (19763)

There are currently no version checking / vulnerability plugins.
A manual vulnerability assessment is required.

References

• https://tortoisesvn.net/
• Change log
• CVE Details
• Vulners