I don't know the definitive answer, but tajweed involves a lot of regular one to one contact with the teacher, (who would be a non-mahram man) and you have to recite it nice and proper, thus beautifying your voice.
On top of that, a sister alone with a non-mahram male is definitely not allowed.
“No man is alone with a (non-mahram) woman, but Shaytaan will be the third among them.” (Reported by al-Tirmidhi, 3/474; see also Mishkaat al-Masaabeeh, 3118).
This whole situation could lead to more harm than good.
There are female tajweed teachers around. Try to find one, inshaAllah.
Are women allowed to correct the Imam by any means e.g. clapping. I think I heard something like this, but it might have been something related to something completely different. :hmm: