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Straight should be okay but it is much better to have it curved a little in a C shape (not that much - just emphasising it's bending in, never ever out).
The way to get it to do that? Very very boring, I'm afraid. Every bar, think about your thumb. Stop. Correct it. Play again. Stop again. Correct again...Eventually this will become automatic - it could take any time from a month to a year to fully become automatic, though, depending on how ingrained the habit.
Ask your teacher. From here, I can't tell you if your thumb is causing tension in your hand - s/he will be able to.
Until you see her, stop every time your hand gets tired and before it starts to ache, and shake your hand out, relaxing it to get tension, and start again. Check your shoulder is not tense when you play, too. Good luck - let us know what your teacher says (and PM me if you have any questions)
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Thanks, Cellocase.

At least now i know that i've not wandered too far. Shoulder relaxed...that's something i now remember being told to keep an eye on, next time i practice i shall keep a check on that, too.