diff --git a/pytorch_lightning/accelerators/accelerator_connector.py b/pytorch_lightning/trainer/connectors/accelerator_connector.py
similarity index 99%
rename from pytorch_lightning/accelerators/accelerator_connector.py
rename to pytorch_lightning/trainer/connectors/accelerator_connector.py
index 644b382b6bba2..2c4eafb6ed0e8 100644
--- a/pytorch_lightning/accelerators/accelerator_connector.py
+++ b/pytorch_lightning/trainer/connectors/accelerator_connector.py
@@ -60,7 +60,7 @@
     import horovod.torch as hvd
 
 
-class BackendConnector(object):
+class AcceleratorConnector(object):
 
     def __init__(
         self,
diff --git a/pytorch_lightning/trainer/deprecated_api.py b/pytorch_lightning/trainer/deprecated_api.py
index a6aeeb7d73f78..71b557bf75a2c 100644
--- a/pytorch_lightning/trainer/deprecated_api.py
+++ b/pytorch_lightning/trainer/deprecated_api.py
@@ -11,7 +11,7 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
-from pytorch_lightning.accelerators.accelerator_connector import BackendConnector
+from pytorch_lightning.trainer.connectors.accelerator_connector import AcceleratorConnector
 from pytorch_lightning.trainer.states import RunningStage
 from pytorch_lightning.utilities import DeviceType, DistributedType, rank_zero_warn
 
@@ -22,7 +22,7 @@ class DeprecatedDistDeviceAttributes:
     _device_type: DeviceType
     _running_stage: RunningStage
     num_gpus: int
-    accelerator_connector: BackendConnector
+    accelerator_connector: AcceleratorConnector
 
     @property
     def on_cpu(self) -> bool:
diff --git a/pytorch_lightning/trainer/properties.py b/pytorch_lightning/trainer/properties.py
index 1f0cc52870f7e..feb0b3f4d8fb3 100644
--- a/pytorch_lightning/trainer/properties.py
+++ b/pytorch_lightning/trainer/properties.py
@@ -21,7 +21,7 @@
 from torch.optim import Optimizer
 
 from pytorch_lightning.accelerators import Accelerator
-from pytorch_lightning.accelerators.accelerator_connector import BackendConnector
+from pytorch_lightning.trainer.connectors.accelerator_connector import AcceleratorConnector
 from pytorch_lightning.callbacks import EarlyStopping, ModelCheckpoint, ProgressBarBase
 from pytorch_lightning.callbacks.base import Callback
 from pytorch_lightning.core.lightning import LightningModule
@@ -51,7 +51,7 @@ class TrainerProperties(ABC):
     _state: TrainerState
     _weights_save_path: str
 
-    accelerator_connector: BackendConnector
+    accelerator_connector: AcceleratorConnector
     callbacks: List[Callback]
     checkpoint_connector: CheckpointConnector
     limit_val_batches: int
diff --git a/pytorch_lightning/trainer/trainer.py b/pytorch_lightning/trainer/trainer.py
index 2453a08ba9067..b6d9769f883ac 100644
--- a/pytorch_lightning/trainer/trainer.py
+++ b/pytorch_lightning/trainer/trainer.py
@@ -22,7 +22,7 @@
 
 from pytorch_lightning import _logger as log
 from pytorch_lightning.accelerators import Accelerator
-from pytorch_lightning.accelerators.accelerator_connector import BackendConnector
+from pytorch_lightning.trainer.connectors.accelerator_connector import AcceleratorConnector
 from pytorch_lightning.callbacks import Callback
 from pytorch_lightning.core.datamodule import LightningDataModule
 from pytorch_lightning.core.lightning import LightningModule
@@ -308,7 +308,7 @@ def __init__(
         self.data_connector = DataConnector(self)
         self.optimizer_connector = OptimizerConnector(self)
 
-        self.accelerator_connector = BackendConnector(
+        self.accelerator_connector = AcceleratorConnector(
             num_processes, tpu_cores, distributed_backend, auto_select_gpus, gpus, num_nodes, sync_batchnorm, benchmark,
             replace_sampler_ddp, deterministic, precision, amp_backend, amp_level, plugins
         )