In real world it is not a problem if not too long.
Definitely no extra termination.
Usually.
Some sources say you “can” add a terminator to each stub to prevent reflections, e.g. section 7 on page 4 of https://www.renesas.com/en/document/apn/rs-485-design-guide-application-note#page4
The issue with terminating each stub is excessive loading.
This page has some nice rules of thumb: https://www.felser.ch/profibus-manual/der_einsatz_von_stichleitungen.html
Both resources utter bullshit, of course. Stubs cannot be terminated, as you say, because of the loading it causes. Yet the source you refer to just says it can be done, no conditions.
The next resource says that stub length depends on baud rate, which is totally made-up idea. With slower edge rates, longer stubs can be allowed, but that has absolutely nothing to do with baud rate and everything to do with slew rate control of the transceivers.
(The latter one could be excused by that it's documentation for one specific product only. They know the transceivers they use. They could even dynamically control slew rate based on baud rate setting (doubt it, but theoretically possible). But definitely not generic "rules of thumb"!)
My eyes start bleeding every time I see an URL in an RS485 related discussion. Even the best resources are just poorly written. The average ones are total made up bullshit. RS485 is very hard to work with simply because of so much disinformation with 40-year legacy.
Probably the only paper which deals with a very limited subset of things properly is the official modbus standard (see
https://www.modbus.org/docs/Modbus_over_serial_line_V1_02.pdf ) which gives some correct advice in authoritative "must" form, to render appnote solutions recommended by the rest of the industry non-standard-compliant, rectifying confusing naming like "fail-safe biasing", and so on. Kudos for them! But it only scratches the surface.
For the OP, 2-meter stub is a bit awkward in the sense that it can't be unconditionally recommended without knowing what transceivers the bus participants use (and how they are configured e.g. with respect to slew rate control pin); if high-speed transceivers are used, it will definitely cause signal integrity problems. Then again, it is also quite likely it will work just fine. Testing if it works or not is easy, but if it works, then you don't know by what margin. One ghetto idea without signal integrity measurements is to test if it works reliably with e.g. a 10-meter stub. If it does, chances are better it works at 2 meters with some margin to spare.