Whole muscle meat is considered "sterile" on the inside... Bacteria are considered to be on the outside of the muscle...
It would have been much safer if you started the smoker at 225-250 for the first hour or two, then lowered the temp to 180...
That being said, the USDA has a time / temp table that tells when pathogens have been destroyed....
The table below shows meat at 138 deg. F for 18 min. is safe... I use these tables but I extend the time significantly for "insurance" that the pathogens have been killed...
Since you were smoking the meat, at a lower temperature, cure #1 would have been a good ingredient to add to the meat..
PM Chef Jimmy J for his opinion.... I can only provide some information.. YOU will have to decide if it is safe....
Government Pasteurization Tables
The pasteurization times for beef, lamb and pork are listed in Table C.1. Table C.2 lists the pasteurization times for chicken and turkey.
Temperature
|
Time
|
Temperature
|
Time
|
°F (°C)
|
(Minutes)
|
°F (°C)
|
(Seconds)
|
130 (54.4)
|
112 min
|
146 (63.3)
|
169 sec
|
131 (55.0)
|
89 min
|
147 (63.9)
|
134 sec
|
132 (55.6)
|
71 min
|
148 (64.4)
|
107 sec
|
133 (56.1)
|
56 min
|
149 (65.0)
|
85 sec
|
134 (56.7)
|
45 min
|
150 (65.6)
|
67 sec
|
135 (57.2)
|
36 min
|
151 (66.1)
|
54 sec
|
136 (57.8)
|
28 min
|
152 (66.7)
|
43 sec
|
137 (58.4)
|
23 min
|
153 (67.2)
|
34 sec
|
138 (58.9)
|
18 min
|
154 (67.8)
|
27 sec
|
139 (59.5)
|
15 min
|
155 (68.3)
|
22 sec
|
140 (60.0)
|
12 min
|
156 (68.9)
|
17 sec
|
141 (60.6)
|
9 min
|
157 (69.4)
|
14 sec
|
142 (61.1)
|
8 min
|
158 (70.0)
|
0 sec
|
143 (61.7)
|
6 min
| | |
144 (62.2)
|
5 min
| | |
145 (62.8)
|
4 min
| | |
Table C.1: Pasteurization times for beef, corned beef, lamb, pork and cured pork (FDA, 2009, 3-401.11.B.2).
Temperature
|
Time
|
Time
|
Time
|
Time
|
Time
|
Time
|
°F (°C)
|
1% fat
|
3% fat
|
5% fat
|
7% fat
|
9% fat
|
12% fat
|
136 (57.8)
|
64 min
|
65.7 min
|
68.4 min
|
71.4 min
|
74.8 min
|
81.4 min
|
137 (58.3)
|
51.9 min
|
52.4 min
|
54.3 min
|
56.8 min
|
59.7 min
|
65.5 min
|
138 (58.9)
|
42.2 min
|
42.7 min
|
43.4 min
|
45.3 min
|
47.7 min
|
52.9 min
|
139 (59.4)
|
34.4 min
|
34.9 min
|
35.4 min
|
36.2 min
|
38.3 min
|
43 min
|
140 (60.0)
|
28.1 min
|
28.5 min
|
29 min
|
29.7 min
|
30.8 min
|
35 min
|
141 (60.6)
|
23 min
|
23.3 min
|
23.8 min
|
24.4 min
|
25.5 min
|
28.7 min
|
142 (61.1)
|
18.9 min
|
19.1 min
|
19.5 min
|
20.1 min
|
21.1 min
|
23.7 min
|
143 (61.7)
|
15.5 min
|
15.7 min
|
16.1 min
|
16.6 min
|
17.4 min
|
19.8 min
|
144 (62.2)
|
12.8 min
|
12.9 min
|
13.2 min
|
13.7 min
|
14.4 min
|
16.6 min
|
145 (62.8)
|
10.5 min
|
10.6 min
|
10.8 min
|
11.3 min
|
11.9 min
|
13.8 min
|
146 (63.3)
|
8.7 min
|
8.7 min
|
8.9 min
|
9.2 min
|
9.8 min
|
11.5 min
|
148 (64.4)
|
5.8 min
|
5.8 min
|
5.9 min
|
6.1 min
|
6.5 min
|
7.7 min
|
150 (65.6)
|
3.8 min
|
3.7 min
|
3.7 min
|
3.9 min
|
4.1 min
|
4.9 min
|
152 (66.7)
|
2.3 min
|
2.3 min
|
2.3 min
|
2.3 min
|
2.4 min
|
2.8 min
|
154 (67.8)
|
1.5 min
|
1.5 min
|
1.5 min
|
1.5 min
|
1.5 min
|
1.6 min
|
156 (68.9)
|
59 sec
|
59.5 sec
|
1 min
|
1 min
|
1 min
|
1 min
|
158 (70.0)
|
38.8 sec
|
39.2 sec
|
39.6 sec
|
40 sec
|
40.3 sec
|
40.9 sec
|
160 (71.1)
|
25.6 sec
|
25.8 sec
|
26.1 sec
|
26.3 sec
|
26.6 sec
|
26.9 sec
|
162 (72.2)
|
16.9 sec
|
17 sec
|
17.2 sec
|
17.3 sec
|
17.5 sec
|
17.7 sec
|
164 (73.3)
|
11.1 sec
|
11.2 sec
|
11.3 sec
|
11.4 sec
|
11.5 sec
|
11.7 sec
|
166 (74.4)
|
0 sec
|
0 sec
|
0 sec
|
0 sec
|
0 sec
|
0 sec
|
Table C.2: Pasteurization times for a 7D reduction in Salmonella for chicken and turkey (FSIS, 2005).