I think the key parts here are 1) is it a player. In the OP yes it is. So if a player is shown a yellow card for dissent they are Temporarily dismissed. 2) The second part that is relevant is the sin bin period and the sin bin time.
Once a player is shown a yellow card for dissent the sin bin period commences. But the time does not start until the next restart in play.
3)Also, a player sin binned on 44th minute remains in the sin bin period throughout the duration of half time so it stands to reason the sin bin is effective through the half time interval.
In conclusion I would say that a player cautioned for dissent during the half time interval would be temporarily dismissed with the TD time period commencing at the restart of play to commence the second half.
Once a player is shown a yellow card for dissent the sin bin period commences. But the time does not start until the next restart in play.
3)Also, a player sin binned on 44th minute remains in the sin bin period throughout the duration of half time so it stands to reason the sin bin is effective through the half time interval.
In conclusion I would say that a player cautioned for dissent during the half time interval would be temporarily dismissed with the TD time period commencing at the restart of play to commence the second half.