stressen
to stress out
To put someone under pressure, cause them stress, or make them nervous.
Die ständigen Termine und die viele Arbeit stressen mich sehr.
The constant appointments and all the work really stress me out.

to stress out / annoy
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to stress out
To put someone under pressure, cause them stress, or make them nervous.
Die ständigen Termine und die viele Arbeit stressen mich sehr.
The constant appointments and all the work really stress me out.

The verb 'stressen' (to stress out) is a relatively modern word in German and was derived directly from the English word 'stress'. It is very common in everyday language.
Lass uns das Thema wechseln, das stresst mich nur.
Let's change the subject; it just stresses me out.
It is important to distinguish: 'jemanden stressen' (to stress someone out) means that an external thing or person causes stress. 'Sich stressen' (to stress oneself out) means that you put yourself under pressure.
Der Lärm von der Baustelle stresst die Anwohner.
The noise from the construction site stresses out the residents.
In the meaning of 'nerven' (to annoy) or 'stören' (to bother), 'stressen' (to annoy) is used mainly in informal colloquial speech. In formal contexts, you would use other verbs.
Stress hier nicht so rum, ich brauche meine Ruhe!
Stop being so annoying here; I need some peace and quiet!
to disturb / bother
'stören' and 'stressen' can both mean that something is unpleasant for someone. You use 'stören' when someone is interrupted, loses their peace and quiet, or finds something annoying. 'stressen' means more strongly that someone comes under pressure, gets nervous, or feels burdened. Colloquially, 'stressen' can also simply mean 'to annoy' or 'to bother'. That is why learners may confuse the words. If it is about an interruption, 'stören' is more precise. If it is about pressure, hectic activity, or inner tension, 'stressen' fits better.

Die vielen E-Mails haben mich heute Morgen schon sehr gestresst.
The many emails already really stressed me out this morning.
Bitte stör mich nicht, ich muss diesen Bericht fertig schreiben.
Please don't disturb me; I need to finish writing this report.