Having a low(er) 260/230 is not necessarily detrimental to downstream experiments depending on the application. For example, for real time PCR it is not necessarily a deathspell (https://www.qiagen.com/us/resources/faq?id=c59936fb-4f1e-4191-9c16-ff083cb24574&lang=en), but back in the days when people worked with microarrays it could increase the background noise so this criteria was useful for that application. A230 is generally used for residual chemicals such as phenol, guanidine and others (see https://assets.thermofisher.com/TFS-Assets/CAD/Product-Bulletins/TN52646-E-0215M-NucleicAcid.pdf). You could try to load back into a spin column and re-wash, but that will probably also decrease your yield and concentration. To improve it, you need to make sure there is no carry-over contamination by following the protocol, but I don't think it's so unusual to have a few somewhat contaminated samples despite trying your best (I've isolated RNA from >100 samples, sometimes a few is just dirtier than the rest despite your best effort).
You can try another extraction kit, re-wash it (as mentioned above), or maybe try to use additional chemicals, but then it can be worse. It depends on what you are working with (type of tissue). But sometimes you don't need to do anything. I work with plant material and I performed few qRT-PCRs with RNAs as you have. And everything was OK, because the other chemicals are diluted during transcription.
Add one volume of chloroform to the sample and vortex for 3 to 5 minutes.
Centrifuge the mixture for 5 minutes at 10,000 g.
Using a pipette, transfer the upper phase (aqueous phase) to a new tube.
Add three volumes of ice-cold ethanol, along with 1/10 volume of 3 M sodium acetate (pH 4.8) or ammonium acetate, and optionally, 1/100 volume of glycogen.
Incubate the mixture at -20°C for at least 1 hour, preferably overnight.
Centrifuge the tube for 30 to 60 minutes at 4°C and 10,000 g.
Discard the supernatant carefully and add 1 ml of 70% ethanol to the pellet.
Centrifuge again for 15 to 30 minutes at 4°C and 10,000 g.
Discard the supernatant and proceed to dry the pellet using a speed vacuum or by air-drying on the bench.
Finally, resuspend the pellet in distilled water or TE buffer.