I have recently got into a weird situation, that I didn't think I would be in. First of all, I had applied for a paid research internship abroad (at a foreign university) some time ago. Due to covid restrictions, that has been converted into a remote/virtual intership. I have accepted their offer so that's all well and good.
However, one of my professors at my own university has now offered me a paid internship for the summer. That will also have to be done remotely I guess, judging by the current state of the world.
Now, as I have accepted the offer from the foreign university, I cannot cancel that, and I have to go through it. On the other hand, I don't know how to reject my professor's offer poiltely. I want to stay on good terms with her, because I have to stay in this university for two more years. And she is researching in the field where I want to go, so there is a chance that I will have to apply for her supervision for a PhD in future.
I am an undergrad studying chemistry in the UK in case anyone is wondering.
What should I do? I can probably accept both internships, but I don't know if I can really work on both of them, even if it's remotely. How common is it for people to do two internships in one summer? What is the perception of such a thing in the academic world?