The market has fully digested two events and learned to live with them.
The first event is Janet Yellen's history of indecision. It is inevitable that US interest rates will rise but the timing remains a subject of speculation. The only sure thing is that Yellen will continue to be indecisive and the muted market reaction on the dollar Index chart reflects this. Apart from some short-term and small gyrations there is no substantial impact from Yellen's statements. The real surprise will be when decisiveness overrides indecision but the dollar index chart suggests this is not a high probability in the near future.
The second event is Brexit. The damage has already been done no matter what the outcome. Markets have already factored in an exit so when the final result is announced there is unlikely to be a large and lasting impact. Again, the dollar index reflects this and has already baked the exit into the cake.
If Britain decides to stay with the EU it is most likely to be by a narrow margin. However, this in itself indicates a tenuous level of support and any recovery in the relationship will be slow and half-hearted. Britain as an unwilling partner is just as devastating as Britain leaving, so a stay result has a similar impact on the dollar index to an exit result.
Only a massive and overwhelming support for staying in the EU would be enough to shake currency markets in the long-term but this is a very low probability outcome.
The dollar index will continue to trade within a well-defined trading band. The first key feature on the chart are the support and resistance levels. The support level is near $0.93 and was tested multiple times in 2015 and most recently in May 2016. The dollar Index has dipped below this briefly, but usually rebounded quickly from this support level.