Both G color diamonds and I color diamonds are on the same color tier. I diamonds are two color grades lower than G color diamonds.
By GIA standard, G color diamonds are considered to be better than I color diamonds. But like all color grades, the preference for G color diamonds to I color diamonds depends on you.
G color diamonds are likely to be more expensive than I color diamonds. Not everyone can afford that price difference, even if they want it.
If that's the case, there are a couple of ways around it, depending on your color perception.
Think about your ring setting. Some see the warmth of an I diamond in comparison to a G color diamond as loose diamonds and aren't a fan. In this case, engagement rings with other diamonds in the setting might not help you.
Smaller accent diamonds tend to have better color grades than a center diamond because they're smaller. It's easier to cut colorless diamonds out of small pieces of diamond rough.
Ring settings like halo engagement rings would probably make the warmth in your diamond more noticeable.
The halo surrounding it could make your center stone more yellow due to the higher color grades surrounding it.
A solitaire ring setting would be more suitable. There are no smaller diamonds to compete with the tint of an I diamond. Therefore, you may not notice the color as much as in other engagement rings.
If it still bothers you and you're unable to work a G color diamond into your budget, you may consider putting your I color diamond in yellow gold solitaire setting.
For some, the bright yellow metal offsets diamond tint, making the diamond appear whiter than it would in white gold or platinum.