1. Unless you have some special need for installing Win 7 on your new PC - for example, there are some specialized programs on your current 2 TB HDD that will work only with the Win 7 OS and not with Win 10 - I see no need for you to retain the Win 7 OS on your new system.
2. Even with its quirks and the obvious need for you to learn the "ins & outs" of a new OS, the Win 10 OS is a superior OS in so many ways and the future is NOW. Win 7 is a dying OS virtually unsupported by MS and unless you have a special need for that OS (as explained in 1. above), my advice is simply don't consider using it once your Win 10 has been successfully installed in your new system and is "alive & well".
3. And to buttress the above advice, it's clear that your university is supportive of the new OS, is it not?
4. So go ahead and fresh-install the Win 10 OS on your new SSD (which I hope will not have a capacity not less than 250 GB - more if you can afford it) ensuring that you have a bootable functional drive problem-free. You're probably aware you will then need to reinstall all or virtually all of your programs on the 2 TB HDD which will become a secondary drive in your system. By & by you can delete the Win 7 OS from that HDD.