diff --git a/cpp/src/arrow/compute/kernels/scalar_temporal.cc b/cpp/src/arrow/compute/kernels/scalar_temporal.cc
index bb4b44e77fbc2..674be60d42bd8 100644
--- a/cpp/src/arrow/compute/kernels/scalar_temporal.cc
+++ b/cpp/src/arrow/compute/kernels/scalar_temporal.cc
@@ -1199,7 +1199,7 @@ void RegisterScalarTemporal(FunctionRegistry* registry) {
 
   static const auto default_strftime_options = StrftimeOptions();
   auto strftime = MakeSimpleUnaryTemporal<Strftime>(
-      "strftime", {WithDates, WithTimestamps}, utf8(), &strftime_doc,
+      "strftime", {WithTimes, WithDates, WithTimestamps}, utf8(), &strftime_doc,
       &default_strftime_options, StrftimeState::Init);
   DCHECK_OK(registry->AddFunction(std::move(strftime)));
 
diff --git a/cpp/src/arrow/compute/kernels/scalar_temporal_test.cc b/cpp/src/arrow/compute/kernels/scalar_temporal_test.cc
index f457a4f02b942..fcc54e418ee28 100644
--- a/cpp/src/arrow/compute/kernels/scalar_temporal_test.cc
+++ b/cpp/src/arrow/compute/kernels/scalar_temporal_test.cc
@@ -639,7 +639,6 @@ TEST_F(ScalarTemporalTest, Strftime) {
   CheckScalarUnary("strftime", timestamp(TimeUnit::NANO, "US/Hawaii"), nanoseconds,
                    utf8(), string_nanoseconds, &options);
 
-<<<<<<< HEAD
   auto options_hms = StrftimeOptions("%H:%M:%S");
   auto options_ymdhms = StrftimeOptions("%Y-%m-%dT%H:%M:%S");
 
@@ -696,7 +695,6 @@ TEST_F(ScalarTemporalTest, Strftime) {
       Strftime(arr_ns, StrftimeOptions("%Y-%m-%dT%H:%M:%S%Z")));
 
   auto options_ymd = StrftimeOptions("%Y-%m-%d");
-  auto options_ymdhms = StrftimeOptions("%Y-%m-%dT%H:%M:%S");
 
   const char* date32s = R"([0, 10957, 10958, null])";
   const char* date64s = R"([0, 946684800000, 946771200000, null])";
diff --git a/docs/source/cpp/compute.rst b/docs/source/cpp/compute.rst
index f6988a0b0d1fc..3c53a255023d7 100644
--- a/docs/source/cpp/compute.rst
+++ b/docs/source/cpp/compute.rst
@@ -1215,7 +1215,7 @@ provided by a concrete function :func:`~arrow::compute::Cast`.
 +=================+============+====================+==================+==============================+=======+
 | cast            | Unary      | Many               | Variable         | :struct:`CastOptions`        |       |
 +-----------------+------------+--------------------+------------------+------------------------------+-------+
-| strftime        | Unary      | Timestamp, Time    | String           | :struct:`StrftimeOptions`    | \(1)  |
+| strftime        | Unary      | Temporal           | String           | :struct:`StrftimeOptions`    | \(1)  |
 +-----------------+------------+--------------------+------------------+------------------------------+-------+
 | strptime        | Unary      | String-like        | Timestamp        | :struct:`StrptimeOptions`    |       |
 +-----------------+------------+--------------------+------------------+------------------------------+-------+
diff --git a/r/tests/testthat/test-dplyr-lubridate.R b/r/tests/testthat/test-dplyr-lubridate.R
index 19c867bfc0cc0..cf4b0c5a8fdf0 100644
--- a/r/tests/testthat/test-dplyr-lubridate.R
+++ b/r/tests/testthat/test-dplyr-lubridate.R
@@ -125,6 +125,8 @@ test_that("extract wday from timestamp", {
     test_df
   )
 
+  skip_on_os("windows") # https://issues.apache.org/jira/browse/ARROW-13168
+
   expect_dplyr_equal(
     input %>%
       mutate(x = wday(date, label = TRUE)) %>%
@@ -267,6 +269,8 @@ test_that("extract wday from date", {
     test_df
   )
 
+  skip_on_os("windows") # https://issues.apache.org/jira/browse/ARROW-13168
+
   expect_dplyr_equal(
     input %>%
       mutate(x = wday(date, label = TRUE, abbr = TRUE)) %>%