Wayfarer Accepted pokestop is not live

First up, use Ingress Intel to check if the waypoint has actually gone live. If it doesn't appear there, it probably hasn't been accepted (which would explain why you don't have an email yet). It's also worth checking that there isn't a similar waypoint in that location where it might have been marked as a duplicate.

You say the distance between the two submitted waypoints is 150 metres, so there shouldn't be any duplicate/proximity issues, but if there are other waypoints in the vicinity they can cause problems. Waypoints that are within 20 metres of another waypoint on submission automatically be marked as a duplicate of the closest other waypoint even if they get approved, and waypoints that are in the same size 17 S2 cell as an existing waypoint will only go live in Ingress, and not in Pokemon Go.

For example, take the following screenshot of my local area, with size 17 S2 cells marked. You can see that in each cell with a waypoint, a pokestop (or a gym) exists, but in the cells marked with the "1" and "2", a second waypoint in that cell only became a portal, and does not exist in Pokemon Go

If this is not the case in your area, then there's a few possibilities. Waypoints are only synchronised to Pokemon Go once each weekday, at around 6:40pm UTC. Since you say that the waypoint was marked "accepted" on the 2nd of May 2021, this should not be affecting you, but not receiving an email means that it might not have actually been accepted yet. This email should occur whenever acceptance starts, not upon synchronisation to PoGo, so you should always receive an email before it appears in-game.

can I submit a new nomination of the same place again?

If none of the notes above apply to you (that is, the waypoint is marked as "accepted", is not live in Ingress, is not within 20 metres of another waypoint, and you haven't received an email after a few days), then yes, the best course of action is likely to just resubmit it.